On the Construction of Quantized Gauge Fields. {III}: The Two-dimensional Abelian Higgs Model Without Cutoffs - INSPIRE

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On the Construction of Quantized Gauge Fields. {III}: The Two-dimensional Abelian Higgs Model Without Cutoffs

David C. Brydges
(
- Virginia U.
)
,
Jurg Frohlich
(
- IHES, Bures-sur-Yvette
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)

May, 1980

79 pages

Published in:

Commun.Math.Phys. 79 (1981) 353

DOI:

10.1007/BF01208500

Report number:

Print-80-0354 (VIRGINIA)

reference search33 citations

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Abstract: (Springer)

In this paper the construction of the two-dimensional abelian Higgs model begun in two earlier articles is completed. First we show how to remove the remaining ultraviolet cutoff on the gauge field, then we construct the infinite volume limit and verify the axioms of Osterwalder and Schrader for the expectation values of gauge invariant local fields. Finally it is shown that an auxiliary gauge field mass that was introduced to avoid infrared problems can be safely removed.

GAUGE FIELD THEORY: CONSTRUCTIVE
GAUGE FIELD THEORY: TWO-DIMENSIONAL
MODEL: HIGGS
GAUGE FIELD THEORY: WARD IDENTITY
QUANTIZATION
STATISTICAL MECHANICS
FEYNMAN GRAPH
RENORMALIZATION
GAUGE FIELD THEORY: INFRARED PROBLEM
CORRELATION FUNCTION

References(17)

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