UV fixedpoint structure of the threedimensional Thirring model
Abstract
We investigate the UV fixedpoint structure of the threedimensional Thirring model by means of the functional renormalization group. We classify all possible 4fermi interactions compatible with the present chiral and discrete symmetries and calculate the purely fermionic renormalization group flow using a full basis of fermionic fourpoint functions in the pointlike limit. Our results show that the UV complete (asymptotically safe) Thirring model lies in a twodimensional coupling plane which reduces to the conventional Thirring coupling only in the strict largeN{sub f} limit. In addition to the Thirring universality class, which is characterized by one relevant direction (also at finite N{sub f}), two further interacting fixed points occur which may define new universality classes of secondorder phase transitions also involving paritybroken phases. The N{sub f} dependence of the Thirring fixed point sheds further light on the existence of an N{sub f}controlled quantum phase transition above which chiral symmetry remains unbroken for arbitrary large coupling, even though a definite answer will require a direct computation of competing orders.
 Authors:

 TheoretischPhysikalisches Institut, FriedrichSchillerUniversitaet Jena, MaxWienPlatz 1, 07743 Jena (Germany)
 Publication Date:
 OSTI Identifier:
 21432421
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 82; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.82.085018; (c) 2010 American Institute of Physics; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; COUPLING; FERMI INTERACTIONS; FERMIONS; MANYBODY PROBLEM; PARITY; PHASE TRANSFORMATIONS; RENORMALIZATION; SYMMETRY BREAKING; THIRRING MODEL; THREEDIMENSIONAL CALCULATIONS; BASIC INTERACTIONS; INTERACTIONS; PARTICLE PROPERTIES; SYMMETRY; WEAK INTERACTIONS
Citation Formats
Gies, Holger, and Janssen, Lukas. UV fixedpoint structure of the threedimensional Thirring model. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.82.085018.
Gies, Holger, & Janssen, Lukas. UV fixedpoint structure of the threedimensional Thirring model. United States. doi:10.1103/PHYSREVD.82.085018.
Gies, Holger, and Janssen, Lukas. Fri .
"UV fixedpoint structure of the threedimensional Thirring model". United States. doi:10.1103/PHYSREVD.82.085018.
@article{osti_21432421,
title = {UV fixedpoint structure of the threedimensional Thirring model},
author = {Gies, Holger and Janssen, Lukas},
abstractNote = {We investigate the UV fixedpoint structure of the threedimensional Thirring model by means of the functional renormalization group. We classify all possible 4fermi interactions compatible with the present chiral and discrete symmetries and calculate the purely fermionic renormalization group flow using a full basis of fermionic fourpoint functions in the pointlike limit. Our results show that the UV complete (asymptotically safe) Thirring model lies in a twodimensional coupling plane which reduces to the conventional Thirring coupling only in the strict largeN{sub f} limit. In addition to the Thirring universality class, which is characterized by one relevant direction (also at finite N{sub f}), two further interacting fixed points occur which may define new universality classes of secondorder phase transitions also involving paritybroken phases. The N{sub f} dependence of the Thirring fixed point sheds further light on the existence of an N{sub f}controlled quantum phase transition above which chiral symmetry remains unbroken for arbitrary large coupling, even though a definite answer will require a direct computation of competing orders.},
doi = {10.1103/PHYSREVD.82.085018},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 82,
place = {United States},
year = {2010},
month = {10}
}