scholarly journals Spontaneous R-symmetry breaking from the renormalization group flow

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Antonio Amariti ◽  
David Stone
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Renormalization Group Flow ◽  
Group Flow ◽  
R Symmetry

scholarly journals Generalized global symmetries of T[M] theories. Part I

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Sergei Gukov ◽  
Po-Shen Hsin ◽  
Du Pei
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
General Framework ◽  
Dimensional Manifold ◽  
Renormalization Group Flow ◽  
Dimensional Theory ◽  
Group Flow ◽  
Group Symmetries ◽  
Chern Simons ◽  
Special Case

Abstract We study reductions of 6d theories on a d-dimensional manifold Md, focusing on the interplay between symmetries, anomalies, and dynamics of the resulting (6 −d)-dimensional theory T[Md]. We refine and generalize the notion of “polarization” to polarization on Md, which serves to fix the spectrum of local and extended operators in T[Md]. Another important feature of theories T[Md] is that they often possess higher-group symmetries, such as 2-group and 3-group symmetries. We study the origin of such symmetries as well as physical implications including symmetry breaking and symmetry enhancement in the renormalization group flow. To better probe the IR physics, we also investigate the ’t Hooft anomaly of 5d Chern-Simons matter theories. The present paper focuses on developing the general framework as well as the special case of d = 0 and 1, while an upcoming paper will discuss the case of d = 2, 3 and 4.

scholarly journals Unimodular quantum gravity: steps beyond perturbation theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Gustavo P. de Brito ◽  
Antonio D. Pereira
Keyword(s):  
Fixed Point ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Quantum Gravity ◽  
Symmetry Breaking ◽  
Coarse Graining ◽  
Renormalization Group Flow ◽  
Anomalous Dimensions ◽  
Group Flow

Abstract The renormalization group flow of unimodular quantum gravity is computed by taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions. In this setting, a ultraviolet attractive fixed point is found. Symmetry-breaking terms induced by the coarse-graining procedure are introduced and their impact on the flow is analyzed. A discussion on the equivalence of unimodular quantum gravity and standard full diffeomorphism invariant theories is provided beyond perturbation theory.

scholarly journals Ruppeiner curvature along a renormalization group flow

2021 ◽  
pp. 136450
Author(s):  
Pavan Kumar Yerra ◽  
Chandrasekhar Bhamidipati
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow

scholarly journals Counting Yang-Mills Instantons by Surface Operator Renormalization Group Flow

2021 ◽  
Vol 126 (23) ◽  
Author(s):  
Giulio Bonelli ◽  
Fran Globlek ◽  
Alessandro Tanzini
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Surface Operator ◽  
Group Flow

scholarly journals RG flows of integrable σ-models and the twist function

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
François Delduc ◽  
Sylvain Lacroix ◽  
Konstantinos Sfetsos ◽  
Konstantinos Siampos
Keyword(s):  
Renormalization Group ◽  
Large Class ◽  
Rational Function ◽  
Integrable Model ◽  
Renormalization Group Flow ◽  
Flow Equations ◽  
Non Linear ◽  
Group Flow

Abstract In the study of integrable non-linear σ-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a central rôle. For a large class of such models, we show that they are one-loop renormalizable, and that the renormalization group flow equations can be written directly in terms of the twist function in a remarkably simple way. The resulting equation appears to have a universal character when the integrable model is characterized by a twist function.

scholarly journals Optimization of renormalization group flow

2000 ◽  
Vol 567 (3) ◽  
pp. 493-514 ◽  
Author(s):  
Sen-Ben Liao ◽  
Janos Polonyi ◽  
Michael Strickland
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow

scholarly journals Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance

1994 ◽  
Vol 421 (2) ◽  
pp. 429-455 ◽  
Author(s):  
M. Bonini ◽  
M. D'Attanasio ◽  
G. Marchesini
Keyword(s):  
Renormalization Group ◽  
Gauge Invariance ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Group Flow
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