RG study of a non-local sine-Gordon model

Naón, Carlos M.; Salvay, Mariano J.

doi:10.1016/s0550-3213(03)00374-2

Cited by 3 publications

(2 citation statements)

References 40 publications

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“…There are a large number of good reviews [8,9,10,11]. A lot of work has been done on the RG of the Sine-Gordon model over the last few years and many computations have been carried out analytically and numerically [32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53]. This paper primarily studies the application of ERG mainly to two dimensional field theories -the emphasis being on a simple way of writing down the solution to the ERG in terms of an evolution operator.…”

Section: Introductionmentioning

confidence: 99%

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Exact renormalization group and Sine Gordon theory

Oak¹,

Sathiapalan²

2017

J. High Energ. Phys.

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Abstract:The exact renormalization group is used to study the RG flow of quantities in field theories. The basic idea is to write an evolution operator for the flow and evaluate it in perturbation theory. This is easier than directly solving the differential equation. This is illustrated by reproducing known results in four dimensional φ 4 field theory and the two dimensional Sine-Gordon theory. It is shown that the calculation of beta function is somewhat simplified. The technique is also used to calculate the c-function in two dimensional Sine-Gordon theory. This agrees with other prescriptions for calculating cfunctions in the literature. If one extrapolates the connection between central charge of a CFT and entanglement entropy in two dimensions, to the c-function of the perturbed CFT, then one gets a value for the entanglement entropy in Sine-Gordon theory that is in exact agreement with earlier calculations (including one using holography) in arXiv:1610.04233.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact renormalization group and Sine Gordon theory

Oak¹,

Sathiapalan²

2017

J. High Energ. Phys.

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A non-covariant fermionic determinant and its connection to Luttinger systems

Iucci¹,

Naón²

2004

J. Phys. A: Math. Gen.

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We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1 + 1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce the correct dispersion relations of the bosonic excitations. We also derive the Hamiltonian of the functionally bosonized model and the corresponding currents. In this way we were able to establish the precise heat-kernel regularization that yields complete agreement between the path-integral and operational approaches to the bosonization of the Tomonaga-Luttinger model.

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Holographic beta functions for the generalized sine-Gordon theory

Oak

Sathiapalan

2019

Phys. Rev. D

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The Sine Gordon theory is generalized to include many scalar fields and several cosine terms. This is similar to the world sheet description of a string propagating in a tachyon background. This model is studied as a (boundary) 2d euclidean field theory and also using an AdS 3 holographic bulk dual. The beta functions for the cosine vertex of this modified theory are first computed in the boundary using techniques based on the exact RG. The beta functions are also computed holographically using position space and momentum space techniques. * prafullao@imsc.res.in † bala@imsc.res.in The results are in agreement with each other and with earlier computations. The cosine perturbation is of the form cos bX. Due to wave function renormalisation the parameter b, and thus the dimension of the cosine, get renormalised. The beta function for this parameter is thus directly related to the anomalous dimension of the X field. We compute this beta function in position space. They match with the earlier results in [8].

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RG study of a non-local sine-Gordon model

Cited by 3 publications

References 40 publications

Exact renormalization group and Sine Gordon theory

Exact renormalization group and Sine Gordon theory

A non-covariant fermionic determinant and its connection to Luttinger systems

Holographic beta functions for the generalized sine-Gordon theory

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