Quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of 4 model

Physics and Mathematics of Nonlinear Phenomena 2013

Kwiatkowski, G.^1 ; Leble, S.^1

Gdansk University of Technology, ul. Narutowicza 11/12, Gdansk, 80-952, Poland^1

关键词: Analytical forms;    Classical systems;    Periodic solution;    Quantum correction;    Quasi-periodic solution;    Real constants;    Regularisation;    Sine Gordon model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012023/pdf
DOI  :  10.1088/1742-6596/482/1/012023

来源: IOP

【 摘 要 】

Analytical form of quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of φ4model is obtained through zeta function regularisation with account of all rest variables of a d-dimensional theory. Qualitative dependence of quantum corrections on parameters of the classical systems is also evaluated for a much broader class of potentials u(x) b2f(bx) + C with b and C as arbitrary real constants.