The Quantum Sine-Gordon Model in Perturbative AQFT

被引：16

作者：

Bahns, Dorothea ^{[1
]}

Rejzner, Kasia ^{[2
]}

机构：

[1] Univ Gottingen, Gottingen, Germany

[2] York Univ, York, N Yorkshire, England

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 357卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

FIELD THEORY; RENORMALIZATION; CONSTRUCTION; LOCALITY;

D O I：

10.1007/s00220-017-2944-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation value-with respect to the vacuum or a Hadamard state-of the Epstein Glaser S-matrix and the interacting current or the field respectively converge, both given as formal power series.

引用

页码：421 / 446

页数：26

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[2]

[Anonymous], 1993, Local quantum physics

[3]

[Anonymous], 1959, INTRODUCTION TO THE THEORY OF QUANTIZED FIELDS

[4]

[Anonymous], 2003, Distribution theory and Fourier analysis