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Quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of ϕ4 model

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Published under licence by IOP Publishing Ltd
, , Citation G Kwiatkowski and S Leble 2014 J. Phys.: Conf. Ser. 482 012023 DOI 10.1088/1742-6596/482/1/012023

1742-6596/482/1/012023

Abstract

Analytical form of quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of ϕ4 model 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.

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10.1088/1742-6596/482/1/012023