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pro vyhledávání: '"Sathiapalan, B."'
Autor:
Sathiapalan, B.
In earlier papers a method was given for constructing from first principles a holographic bulk dual action in Euclidean AdS space for a Euclidean CFT on the boundary. The starting point was an Exact RG for the boundary theory. The bulk action is obta
Externí odkaz:
http://arxiv.org/abs/2408.00628
Autor:
Dharanipragada, Pavan, Sathiapalan, B.
Publikováno v:
Phys. Rev. D 109, 106017, 15 May 2024
In earlier papers it was shown that the correct kinetic term for scalar, vector gauge field and the spin two field in $AdS_{D+1}$ space is obtained starting from the ERG equation for a $CFT_D$ perturbed by scalar composite, conserved vector current a
Externí odkaz:
http://arxiv.org/abs/2306.07442
In earlier work the evolution operator for the exact RG equation was mapped to a field theory in Euclidean AdS. This gives a simple way of understanding AdS/CFT. We explore aspects of this map by studying a simple example of a Schroedinger equation f
Externí odkaz:
http://arxiv.org/abs/2301.13605
Autor:
Dutta, Semanti, Sathiapalan, B.
Publikováno v:
Nucl.Phys.B 973 (2021) 115574
Recently a conformally invariant action describing the Wilson-Fischer fixed point in $D=4-\epsilon$ dimensions in the presence of a {\em finite} UV cutoff was constructed \cite{Dutta}. In the present paper we construct two composite operator perturba
Externí odkaz:
http://arxiv.org/abs/2106.04674
Autor:
Sathiapalan, B.
In this paper an Exact Renormalization Group (ERG) equation is written for the the critical $O(N)$ model in $D$-dimensions (with $D\approx 3$) at the Wilson-Fisher fixed point perturbed by a scalar composite operator. The action is written in terms o
Externí odkaz:
http://arxiv.org/abs/2005.10412
In this paper the fixed-point Wilson action for the critical $O(N)$ model in $D=4-\eps$ dimensions is written down in the $\eps$ expansion to order $\eps^2$. It is obtained by solving the fixed-point Polchinski Exact Renormalization Group equation (w
Externí odkaz:
http://arxiv.org/abs/2003.02773
Autor:
Sathiapalan, B., Sonoda, H.
In an earlier paper (arXiv:1706.03371) a holographic form of the Exact Renormalization Group (ERG) evolution operator for a (perturbed) free scalar field (CFT) in D dimensions was formulated. It was shown to be equivalent, after a change of variables
Externí odkaz:
http://arxiv.org/abs/1902.02486
Akademický článek
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Autor:
Oak, Prafulla, Sathiapalan, B.
Publikováno v:
Phys. Rev. D 99, 046009 (2019)
The Sine Gordon theory is generalized to include 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 $
Externí odkaz:
http://arxiv.org/abs/1809.10758
Autor:
Sathiapalan, B., Sonoda, Hidenori
An attempt is made to make precise the connection between Wilson's RG and "Holographic RG" by writing Wilson's RG in a holographic form. A functional formulation is given for the exact RG evolution of a scalar field in $d$ (flat) dimensions. It is sh
Externí odkaz:
http://arxiv.org/abs/1706.03371