Quantization of sine-Gordon solitons on the circle: Semiclassical vs. exact results

被引：10

作者：

Pawellek, Michael ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Theoret Phys 3, D-91058 Erlangen, Germany

来源：

NUCLEAR PHYSICS B | 2009年 / 810卷 / 03期

关键词：

Sine-Gordon theory; Semiclassical quantization; Zeta function regularization; Lame equation; NONLINEAR INTEGRAL-EQUATION; QUANTUM-FIELD THEORIES; SCALING FUNCTIONS; FUNCTIONAL DETERMINANTS; SPECTRUM; MODEL; STATES;

D O I：

10.1016/j.nuclphysb.2008.10.001

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We consider the semiclassical quantization of sine-Gordon solitons on the circle with periodic and antiperiodic boundary conditions. The I-loop quantum corrections to the mass of the solitons are determined using zeta function regularization in the integral representation. We compare the semiclassical results with exact numerical calculations in the literature and find excellent agreement even outside the plain semiclassical regime. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：527 / 541

页数：15

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