UV AND IR ANALYSES OF THE MASS SPECTRUM IN THE SINE-GORDON MODEL

Fizika B (Zagreb)

SILVIO PALLUA¹  PREDRAG PRESTER¹ 

关键词: sine-Gordon model;    mass spectrum on cylinder;    UV and IR regime;    XXZ spinchain in transverse field;    first two breathers have equal scaling dimensions;   

DOI  :  

学科分类：物理（综合）

来源: Fizika B: a journal of experimental and theoretical physics

【 摘 要 】

We study the mass spectrum of the sine-Gordon model on a cylinder in the UV and IRregime. This is done by numerical diagonalization of the XXZ spin chain in a transversefield which is a convenient regularization. Our results strongly confirm the conjecture ofKlassen and Melzer that sine-Gordon and massive Thirring models are notequivalent when defined on a finite cylinder. We obtain that the first twobreathers have equal scaling dimensions, contrary to the conjecture claimed in literature.

【 授权许可】

Unknown