The Yukawa2 quantum field theory without cutoffs

James Glimm; Arthur Jaffe

doi:10.1016/0022-1236(71)90039-5

The Yukawa₂ quantum field theory without cutoffs

James Glimm
, Arthur Jaffe

Applied Mathematics and Statistics

Harvard University

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We construct the Heisenberg picture dynamics for the Yukawa quantum field theory in two-dimensional space-time. All cutoffs are removed in the field operators, and the fields are formally Lorentz covariant. The fields are local, and commute or anticommute at space-like separated points. The field equations are verified.

Original language	English
Pages (from-to)	323-357
Number of pages	35
Journal	Journal of Functional Analysis
Volume	7
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(71)90039-5
State	Published - Apr 1971

Access to Document

10.1016/0022-1236(71)90039-5

Cite this

@article{975861d3601e47a2b4f019331527f944,

title = "The Yukawa2 quantum field theory without cutoffs",

abstract = "We construct the Heisenberg picture dynamics for the Yukawa quantum field theory in two-dimensional space-time. All cutoffs are removed in the field operators, and the fields are formally Lorentz covariant. The fields are local, and commute or anticommute at space-like separated points. The field equations are verified.",

author = "James Glimm and Arthur Jaffe",

year = "1971",

month = apr,

doi = "10.1016/0022-1236(71)90039-5",

language = "English",

volume = "7",

pages = "323--357",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

number = "2",

}

TY - JOUR

T1 - The Yukawa2 quantum field theory without cutoffs

AU - Glimm, James

AU - Jaffe, Arthur

PY - 1971/4

Y1 - 1971/4

N2 - We construct the Heisenberg picture dynamics for the Yukawa quantum field theory in two-dimensional space-time. All cutoffs are removed in the field operators, and the fields are formally Lorentz covariant. The fields are local, and commute or anticommute at space-like separated points. The field equations are verified.

AB - We construct the Heisenberg picture dynamics for the Yukawa quantum field theory in two-dimensional space-time. All cutoffs are removed in the field operators, and the fields are formally Lorentz covariant. The fields are local, and commute or anticommute at space-like separated points. The field equations are verified.

UR - https://www.scopus.com/pages/publications/0012850285

U2 - 10.1016/0022-1236(71)90039-5

DO - 10.1016/0022-1236(71)90039-5

M3 - Article

AN - SCOPUS:0012850285

SN - 0022-1236

VL - 7

SP - 323

EP - 357

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

The Yukawa₂ quantum field theory without cutoffs

Abstract

Access to Document

Other files and links

Fingerprint

Cite this