Title :

Nonlinear sigma models on constant curvature target manifolds: A functional renormalization group approach

Author(s) :

Efremov, Alexander N. [Auteur]
Systèmes Quantiques [Systèmes Quantiques]
Rançon, Adam [Auteur]
Systèmes Quantiques [Systèmes Quantiques]

Journal title :

Physical Review D

Pages :

105003

Publisher :

American Physical Society

Publication date :

2021

ISSN :

2470-0010

English keyword(s) :

Ward identity
renormalization group
flow
splitting
effective action
reparametrization
scale dependence
sigma model: nonlinear
curvature
background field

HAL domain(s) :

Physique [physics]/Physique des Hautes Energies - Théorie [hep-th]

English abstract : [en]

We study nonlinear sigma models on target manifolds with constant (positive or negative) curvature using the functional renormalization group and the background field method. We pay particular attention to the splitting ...
Show more >We study nonlinear sigma models on target manifolds with constant (positive or negative) curvature using the functional renormalization group and the background field method. We pay particular attention to the splitting Ward identities associated to the invariance under reparametrization of the background field. Implementing these Ward identities imposes to use the curvature as a formal expansion parameter, which allows us to close the flow equation of the (scale-dependent) effective action consistently to first order in the curvature. We shed new light on previous work using the background field method.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

ULNE

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL