Arthur Jaffe | Academic Influence

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Arthur Jaffe

Mathematics

#129

World Rank

#323

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#55

USA Rank

Mathematical Physics

#2

World Rank

#2

Historical Rank

#1

USA Rank

Measure Theory

#970

World Rank

#1260

Historical Rank

#361

USA Rank

mathematics Degrees

Arthur Jaffe

Physics

#495

World Rank

#859

Historical Rank

#240

USA Rank

physics Degrees

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Mathematics
Physics

Arthur Jaffe's Degrees

PhD Physics Princeton University
Bachelors Physics Princeton University

Why Is Arthur Jaffe Influential?

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According to Wikipedia, Arthur Michael Jaffe is an American mathematical physicist at Harvard University, where in 1985 he succeeded George Mackey as the Landon T. Clay Professor of Mathematics and Theoretical Science. Education and career After graduating from Pelham Memorial High School in 1955, Jaffe attended Princeton University as an undergraduate obtaining a degree in chemistry in 1959, and later Clare College, Cambridge, as a Marshall Scholar, obtaining a degree in mathematics in 1961. He then returned to Princeton, obtaining a doctorate in physics in 1966 with Arthur Wightman. His whole career has been spent teaching mathematical physics and pursuing research at Harvard University. His 26 doctoral students include Joel Feldman, Ezra Getzler, and Clifford Taubes. He has had many post-doctoral collaborators, including Robert Schrader, Konrad Osterwalder, Juerg Froehlich, , Thomas Spencer, and Antti Kupiainen.

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Arthur Jaffe's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Quantum Physics: A Functional Integral Point of View (1981) (1721)
Recent Developments in Gauge Theories (1980) (973)
Recent Developments in Gauge Theories. Proceedings, Nato Advanced Study Institute, Cargese, France, August 26 - September 8, 1979 (1980) (239)
“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics (1993) (239)
Vortices and Monopoles: Structure of Static Gauge Theories (1980) (231)
Nonpositivity of the energy density in quantized field theories (1965) (218)
Quantum $K$-theory. I. The Chern character (1988) (202)
The Wightman Axioms and Particle Structure in the (φ) 2 Quantum Field Model (1974) (188)
The λ(ϕ 4 ) 2 Quantum Field Theory Without Cutoffs: II. The Field Operators and the Approximate Vacuum (1970) (170)
Progress in Gauge Field Theory (1984) (170)
HIGH-ENERGY BEHAVIOR IN QUANTUM FIELD THEORY. I. STRICTLY LOCALIZABLE FIELDS (1967) (168)
Quantum Yang-Mills theory (2000) (165)
A LAMBDA PHI**4 QUANTUM FIELD THEORY WITHOUT CUTOFFS. 1 (1968) (151)
Phase transitions for φ24 quantum fields (1975) (141)
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions (1973) (140)
Divergence of perturbation theory for bosons (1965) (137)
Quantum Invariants (1998) (130)
The λ(φ4)2 quantum field theory without cutoffsquantum field theory without cutoffs (1970) (119)
Positivity of the φ 34 Hamiltonian (1973) (115)
The λφ24 Quantum Field Theory without Cutoffs. IV. Perturbations of the Hamiltonian (1972) (111)
A convergent expansion about mean field theory: I. The expansion (1976) (108)
The Millennium Prize Problems (2006) (88)
Review: N. N. Bogolubov, A. A. Logunov and I. T. Todorov, Introduction to axiomatic quantum field theory (1977) (87)
Singular perturbations of selfadjoint operators (1969) (78)
Ground state structure in supersymmetric quantum mechanics (1987) (69)
Index of a family of Dirac operators on loop space (1987) (64)
Nonperturbative quantum field theory (1988) (61)
CONSTRUCTIVE QUANTUM FIELD THEORY (2000) (59)
New Symmetry Principles in Quantum Field Theory (1992) (57)
A convergent expansion about mean field theory: II. Convergence of the expansion (1976) (57)
The mass gap for Higgs models on a unit lattice (1984) (52)
The λ(ϕ 4)2 Quantum Field Theory without Cutoffs (1985) (48)
Form Factors at Large Momentum Transfer (1966) (48)
Boson Quantum Field Models (1985) (45)
A Remark on the Existence of phi**4 in Four-Dimensions (1974) (44)
ENTIRE FUNCTIONS OF THE FREE FIELD (1965) (44)
phi$sub 2$$sup 4$ quantum field model in the single-phase region: Differentiability of the mass and bounds on critical exponents (1974) (43)
Instantons in aU(1) lattice gauge theory: A Coulomb dipole gas (1977) (42)
Self-adjointness of the Yukawa2 Hamiltonian (1970) (40)
Quantum Field Theory on Curved Backgrounds. I. The Euclidean Functional Integral (2006) (39)
The two-dimensional,N=2 Wess-Zumino model on a cylinder (1988) (39)
Representations of the Heisenberg algebra on a Riemann surface (1989) (39)
Two and three body equations in quantum field models (1975) (38)
Planar Para Algebras, Reflection Positivity (2016) (37)
Reflection Positivity and Monotonicity (2007) (36)
Quantum fields and quantum space time (1997) (35)
The Yukawa2 quantum field theory without cutoffs (1971) (34)
Holographic software for quantum networks (2016) (34)
QUANTUM FIELD THEORY MODELS. (1985) (34)
Lorentz covariance of the λ(ϕ4)2 quantum field theory (1970) (34)
Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory (1985) (33)
Quark trapping for lattice U(1) gauge fields (1977) (32)
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions: Part II. The Cluster Expansion (1985) (32)
Response to comments on ``Theoretical Mathematics'' (1994) (31)
Multiple Meron Solutions of the Classical Yang-Mills Equation (1978) (31)
Ordering the Universe: The Role of Mathematics (1984) (31)
Statistical Physics and Dynamical Systems: Rigorous Results (1985) (31)
Reflection Positivity for Parafermions (2014) (30)
Statistical Physics and Dynamical Systems (1985) (30)
Lorentz Transformations (2011) (29)
On Super-KMS Functionals and Entire Cyclic Cohomology* (1989) (29)
Infinite Renormalization of the Hamiltonian Is Necessary (1969) (29)
Quon 3D language for quantum information (2016) (28)
Particles and scaling for lattice fields and Ising models (1976) (28)
A note on reflection positivity (1979) (27)
Effective action and cluster properties of the abelian Higgs model (1988) (26)
A priori estimates forN=2 Wess-Zumino models on a cylinder (1988) (26)
Supersymmetric Quantum Fields and Infinite Dimensional Analysis (1988) (26)
The loop space S1 → R and supersymmetric quantum fields (1988) (25)
Constructive Gauge Theory (1986) (24)
Deformations of super-KMS functionals (1989) (24)
The energy momentum spectrum and vacuum expectation values in quantum field theory, II (1971) (24)
A general class of cut-off model field theories (1969) (23)
Positivity and self adjointness of theP(φ)2 Hamiltonian (1971) (22)
Complex Classical Fields: A Framework for Reflection Positivity (2012) (22)
ENERGY--MOMENTUM SPECTRUM AND VACUUM EXPECTATION VALUES IN QUANTUM FIELD THEORY. (1970) (22)
Reflection Positivity for Majoranas (2013) (21)
Three-particle structure of phi$sup 4$ interactions and the scaling limit (1975) (21)
Absolute bounds on vertices and couplings (1975) (21)
Quantum Field Theory and Statistical Mechanics (1985) (21)
Pfaffians on Hilbert space (1989) (21)
Critical exponents and elementary particles (1977) (21)
Charges, vortices and confinement (1979) (20)
On the approach to the critical point (1975) (20)
QUANTUM FIELD THEORY ON CURVED BACKGROUNDS. II. SPACETIME SYMMETRIES (2007) (20)
Exact Renormalization Group for Gauge Theories (1984) (20)
Quantum K-theory. II. Homotopy invariance of the Chern character☆ (1990) (20)
Quantum scrambling with classical shadows (2021) (19)
Quantum Harmonic Analysis and Geometric Invariants (1997) (18)
Current Developments in Mathematics 1995 (1996) (18)
Characterization of Reflection Positivity: Majoranas and Spins (2015) (18)
PROOF AND THE EVOLUTION OF MATHEMATICS (1997) (17)
Meron Pairs and Quark Confinement (1978) (17)
A Yukawa interaction in infinite volume (1968) (16)
String theory and non-commutative geometry [Final report] (2001) (16)
Infinite volume limit of a λø4 field theory (1968) (15)
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions: Part I. Physics of Quantum Field Models (1985) (15)
Whither Axiomatic Field Theory (1969) (14)
ON THE APPROXIMATION OF QUANTUM FIELD THEORIES (1965) (14)
Quantum Fourier analysis (2020) (14)
Droplet model for quark confinement (1978) (12)
Stochastic Quantization, Reflection Positivity, and Quantum Fields (2015) (12)
Reflection Positive Doubles (2016) (12)
Mathematical picture language program (2017) (12)
The resummation of one particle lines (1979) (10)
Classical shadows with Pauli-invariant unitary ensembles (2022) (10)
Constructive quantum field theory: Selected papers (1985) (10)
Wick Polynomials at a Fixed Time (1966) (10)
Defining physics at imaginary time : reflection positivity for certain Riemannian manifolds (2013) (9)
Complexity of quantum circuits via sensitivity, magic, and coherence (2022) (9)
Rigorous quantum field theory models (1970) (9)
Expansions in statistical physics (1985) (9)
Geometry of Supersymmetry (1990) (9)
Complex classical fields: An example (2014) (9)
Where does quantum field theory fit into the big picture (1999) (9)
Phase transitions in ()₂ quantum fields (1976) (8)
COMPLEX ANGULAR MOMENTUM IN TWO-CHANNEL PROBLEMS (1962) (8)
Quantifying scrambling in quantum neural networks (2021) (8)
Vortex loops and Majoranas (2013) (8)
Ward identities for non-commutative geometry (1990) (7)
Topological order and reflection positivity (2013) (7)
Functional Integral Methods in Quantum Field Theory (1977) (7)
Barren plateaus from learning scramblers with local cost functions (2022) (7)
The entropy principle for vertex functions in quantum field models (1974) (7)
Particles and Bound States and Progress Toward Unitarity and Scaling (1975) (7)
The Cluster Expansion (1981) (7)
A Generalization of the Paley-Wiener-Schwartz Theorem (1967) (6)
Asymptotic Behavior of the S Matrix for High Angular Momentum (1963) (6)
Twist fields, the elliptic genus, and hidden symmetry. (2000) (6)
Quantum Field Theory and Statistical Mechanics: Expositions (1985) (6)
Critical Exponents and Renormalization in the (⌽)4 Scaling Limit (1976) (6)
Twist Positivity (1998) (5)
Heat kernel regularization of quantum fields (1989) (5)
Complex classical fields and partial wick rotations (2013) (5)
lambda(phi$sup 4$)$sub 2$ QUANTUM FIELD THEORY WITHOUT CUTOFFS. III. THE PHYSICAL VACUUM. (1970) (5)
A priori quantum field equations (1989) (5)
The Elliptic Genus and Hidden Symmetry (2001) (4)
Wasserstein Complexity of Quantum Circuits (2022) (4)
Existence of Phase Transitions for phi**4 in Two-Dimensions Quantum Fields (1975) (4)
Phase transitions in $P\left( \phi \right)_2 $ quantum fields (1976) (4)
LORENTZ TRANSFORMATIONS, ROTATIONS, AND BOOSTS (2013) (4)
Status of constructive field theory (1974) (4)
Lattice instantons: What they are and why they are important (1978) (4)
Stability for a class of bilocal Hamiltonians (1993) (4)
Probability applied to physics (1978) (4)
Twist fields and broken supersymmetry (2000) (3)
Fields Without Cutoffs (1981) (3)
An index theorem for super derivations (1989) (3)
Quantum Theory and Relativity (2020) (3)
A Tutorial Course in Constructive Field Theory (1977) (3)
Supersymmetry and the spectral condition on a cylinder (1988) (3)
Twist Positivity for Lagrangian Symmetries (2000) (3)
Compressed Teleportation (2016) (3)
Resource theory of quantum scrambling (2022) (3)
What constructive field theory says about currents (1974) (2)
Existence of Phase Transitions for φ 2 4 Quantum Fields (1985) (2)
The Coupling Constant in a φ4 Field Theory (1980) (2)
Quantization Domains (2013) (2)
De Finetti Theorems for Braided Parafermions (2018) (2)
Existence of Phase Transitions forf~ Quantum Fields (1985) (2)
A Model of Yukawa Quantum Field Theory (1969) (2)
On Convergence of Inverse Functions of Operators (1988) (2)
The holonomy expansion: Invariants and approximate supersymmetry (2000) (2)
Quantum Fields, Stochastic PDE, and Reflection Positivity (2014) (2)
Non-Commutative Geometry and Mathematical Physics (1992) (2)
Reflection positivity and Levin–Wen models (2019) (2)
Phase Transitions and Critical Points (1981) (2)
Quantum Physics as Non-Commutative Geometry (1992) (2)
Editorial (dedication of this issue to Huzihiro Araki) (1993) (2)
Qudit Isotopy (2016) (2)
A Convolutional Approach for Discrete-Variable Quantum Systems (2023) (1)
The φ4 Critical Point (1987) (1)
Magic from a Convolutional Approach (2023) (1)
The particle search in a quantum field model (1973) (1)
Euclidean quantum field theory (1985) (1)
Classical Gauge Theories and Their Quantum Role (1980) (1)
Critical point dominance in quantum field models (1985) (1)
Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution (1981) (1)
Reflection Positivity Then and Now (2018) (1)
An Exchange Identity for Non-linear Fields (2005) (1)
The Feynman-Kac Formula (1981) (1)
Magic of Random Matrix Product States (2022) (1)
Mathematics and string theory (1993) (0)
Reflection Positivity for Majoranas (2014) (0)
Erratum to: Holographic software for quantum networks (2018) (0)
Random Path Representations (1987) (0)
Notes on the Harmonic Oscillator and the Fourier Transform (2002) (0)
Richard V. Kadison (2019) (0)
Vortex Loops and Majorana Fermions (2013) (0)
New results for classical gauge theories: Qualitative and exact (1982) (0)
Calculus and Renormalization on Function Space (1981) (0)
CONSTRUCTING THE lambda(phi$sup 4$)$sub 2$ THEORY. (1969) (0)
Derivatives with Twists (2002) (0)
Stochastic Quantization, Reflection Positivity, and Quantum Fields (2015) (0)
An Asymptotic Perturbation Expansion for Multiphase \varphi _2^4 \cdot (1976) (0)
[Mathematics and string theory]. Progress report [August 1, 1992--July 31, 1993] (1993) (0)
Estimates Independent of Dimension (1981) (0)
"理論数学"--数学と理論物理の文化的統合に向けて-2- (1994) (0)
Constructive Gauge Theory and Phase Cell Localization (1987) (0)
A Quon Model (2016) (0)
The Glory of Three (2012) (0)
Particles and Scaling for Lattice Fields (1976) (0)
Dynamics of a Cut-Off Lambda Phi to the 4 Field Theory. (1966) (0)
The solution of Two-Dimensional Boson Models (1985) (0)
Positivity of the phi$sub 3$$sup 4$Hamiltonian (1973) (0)
qu an tph ] 3 J ul 2 01 4 Reflection Positivity for Parafermions (2014) (0)
PROGRESS IN CONSTRUCTIVE FIELD THEORY. (1970) (0)
Constructive field theory: phase II (1973) (0)
First Encounters (2020) (0)
US scientists rally behind funding bill (1998) (0)
Quantum Invariants * I Introduction (1998) (0)
Introduction to Gauge Theories (2010) (0)
Twist Positivity 1 (1999) (0)
JAMES GLIMM:MATHEMATICIAN,FRIEND,MENTOR (2010) (0)
Quantum Field Theory and QCD (2006) (0)
In Memoriam: Richard V. Kadison (2019) (0)
17 92 v 1 [ m at hph ] 8 M ay 2 01 3 Reflection Positivity for Majorana Fermions (2013) (0)
Complex Classical Fields: A Framework for Reflection Positivity (2014) (0)
Entropy and Central Limit Theorem: a Convolutional Framework (2023) (0)
Quantization = Integration over Function Space (1981) (0)
Multipartite Compressed Teleportation (2016) (0)
Positivity of the ϕ 3 4 Hamiltonian (1985) (0)
Relativistic covariance of an interacting quantum field (1970) (0)
Raymond Stora and Les Houches 1970 (2016) (0)
R. L. Dobrushin (1997) (0)
The Polymer Expansion (1987) (0)
Quantum Field Theory Models: Part I. The φ22n Model (1985) (0)
Ju l 2 00 0 Twist Positivity for Lagrangian Symmetries ∗ (2000) (0)
Asymptotically commuting families of operators (1990) (0)
Reflections and twists (1998) (0)
Critical Problems in Quantum Fields (1985) (0)
For Res Jost, and To Arthur Wightman (1990) (0)
Reflection Positivity for Parafermions (2015) (0)
Remembering Raoul Bott (1923–2005) (2013) (0)
Regularity and Axioms (1987) (0)
The Magnetic Moment of the Electron (1981) (0)
Planar Para Algebras, Reflection Positivity (2016) (0)
Fe b 20 18 Reflection Positivity Then and Now (2018) (0)
Scattering Theory: Time-Independent Methods (1981) (0)
Mathematical picture language program The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2017) (0)
Remark on the existence of phi$sub 4$$sup 4$ (1974) (0)
Characterization of Reflection Positivity: Majoranas and Spins (2016) (0)
De Finetti Theorems for Braided Parafermions (2019) (0)
The Beginning and the Unfinished Story of the Millennium Prize Problems (2020) (0)
Remembering Raoul Bott (2013) (0)
Quantum field theory : a selection of papers in memorian Kurt Symanzik (1985) (0)
A New Diagrammatic Approach to Quantum Information (2016) (0)
D ec 2 01 7 HOLOGRAPHIC SOFTWARE FOR QUANTUM NETWORKS (2018) (0)
Correlation Inequalities and the Lee—Yang Theorem (1981) (0)
2 9 A ug 2 01 3 Reflection Positivity for Majoranas (2021) (0)
Quantum theory (2004) (0)
Replica Condensation and Tree Decay (2007) (0)
MASS GAP FOR HIGGS MODELS 283 The Wilson action arises from the choice (2003) (0)
From Path Integrals to Quantum Mechanics (1981) (0)
Classical Statistical Mechanics (1981) (0)
„Teoretická matematika‟ aneb Jak smířit matematiku s teoretickou fyzikou (1996) (0)
Quantum Field Theory Models: Part II. The Yukawa Model (1985) (0)
PROGRESS IN QUANTUM FIELD THEORY. (1972) (0)
Duality of graph invariants (2018) (0)
A Mathematical Picture Language Project (2020) (0)

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