Perturbative vs. Non-Perturbative Study of the Sine-Gordon Model

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dc.contributor.advisorNándori, István
dc.contributor.authorHariharakrishnan, Sridhar
dc.contributor.departmentDE--Természettudományi és Technológiai Kar--Fizikai Intézethu_HU
dc.date.accessioned2022-05-06T07:01:50Z
dc.date.available2022-05-06T07:01:50Z
dc.date.created2022-05-05
dc.description.abstractFunctional Renormalization Group (FRG) flow equations of Sine-Gordon model in 1, 2 and 3 dimensions are obtained by using power law regulator in additive and multiplicative approaches in the leading order and next to leading order in the Taylor expansion of the Fourier amplitude with LPA′ and single Fourier mode approximations. The 2-dimensional FRG flow equations are compared to the Perturbative Renormalization Group (PRG) flow equations of Daniel J Amit, Yadin Y Goldschmidt, and S Grinstein. Renormalisation group analysis of the phase transition in the 2d coulomb gas, sine-gordon theory and xy-model. Journal of Physics A: Mathematical and General, 13(2):585, 1980., where a universal behaviour is claimed. This thesis explored whether FRG also reproduces this universal behaviour and it is concluded that no such universal behaviour exists in the FRG framework.hu_HU
dc.description.coursePhysicshu_HU
dc.description.degreeBSc/BAhu_HU
dc.format.extent30hu_HU
dc.identifier.urihttp://hdl.handle.net/2437/332514
dc.language.isoenhu_HU
dc.subjectFunctional Renormalization Grouphu_HU
dc.subjectSine-Gordon Modelhu_HU
dc.subjectPower law regulatorhu_HU
dc.subject.dspaceDEENK Témalista::Fizikahu_HU
dc.titlePerturbative vs. Non-Perturbative Study of the Sine-Gordon Modelhu_HU
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