[BOOK][B] Quantum physics: a functional integral point of view
Describes fifteen years' work which has led to the construc-tion of solutions to non-linear
relativistic local field e-quations in 2 and 3 space-time dimensions. Gives proof of the …
relativistic local field e-quations in 2 and 3 space-time dimensions. Gives proof of the …
[BOOK][B] The millennium prize problems
JA Carlson, A Jaffe, A Wiles - 2006 - books.google.com
… Discussions over some years with Professor Arthur Jaffe … 25, 1998, under Professor Jaffe's
leadership. The primary objec… scientific board Alain Connes, Arthur Jaffe, Edward Witten, and …
leadership. The primary objec… scientific board Alain Connes, Arthur Jaffe, Edward Witten, and …
The Wightman Axioms and Particle Structure in the P(φ)2 Quantum Field Model
The 1P (ps) 2 quantum field model with small coupling constant satisfies the Wightman axioms.
The spectrum of the mass operator M=(H2-P2) l12 contains two isolated eigenvalues: 0 …
The spectrum of the mass operator M=(H2-P2) l12 contains two isolated eigenvalues: 0 …
QuantumK-theory: I. The Chern character
A Jaffe, A Lesniewski, K Osterwalder - Communications in mathematical …, 1988 - Springer
We construct a cocycle on an infinite dimensional generalization of ap-summable Fredholm
module. Our framework is related to Connes' cyclic cohomology and is motivated by our …
module. Our framework is related to Connes' cyclic cohomology and is motivated by our …
“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics
Is speculative mathematics dangerous? Recent interactions between physics and
mathematics pose the question with some force: traditional mathematical norms discourage …
mathematics pose the question with some force: traditional mathematical norms discourage …
A Quantum Field Theory without Cutoffs. I
We construct the dynamics for a local quantum field theory in two-dimensional space-time.
Our model describes a scalar field ϕ with a λ ϕ 4 self-interaction. We rely upon the fact that, in …
Our model describes a scalar field ϕ with a λ ϕ 4 self-interaction. We rely upon the fact that, in …
Quantum fourier analysis
Quantum Fourier analysis is a subject that combines an algebraic Fourier transform (pictorial
in the case of subfactor theory) with analytic estimates. This provides interesting tools to …
in the case of subfactor theory) with analytic estimates. This provides interesting tools to …
Nonpositivity of the energy density in quantized field theories
H Epstein, V Glaser, A Jaffe - Il Nuovo Cimento (1955-1965), 1965 - Springer
It is shown that a positive definite local energy density is incompatible with the usual
postulates of local field theory. The question whether it can be bounded below is briefly …
postulates of local field theory. The question whether it can be bounded below is briefly …
Quantum yang-mills theory
A Jaffe, E Witten - The millennium prize problems, 2006 - books.google.com
Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …
Divergence of perturbation theory for bosons
A Jaffe - Communications in Mathematical Physics, 1965 - Springer
Perturbation theory is studied in two dimensional space-time. There all non-derivative boson
self-interactions are renormalizable and in each order of perturbation theory there are no …
self-interactions are renormalizable and in each order of perturbation theory there are no …