TY - JOUR
T1 - Gauge invariance and finite temperature effective actions of Chern-Simons gauge theories with fermions
AU - Cabra, Daniel
AU - Fradkin, Eduardo
AU - Rossini, Gerardo L.
AU - Schaposnik, Fidel A.
N1 - Funding Information:
DC. and G.L.R. are memberso f CONICET (Argentina) and F.A.S. is an Investigador CICBA (Argentina). This work was supported in part by the National Science Foundation through the grant NSF DMR-94-24511 at the University of Illinois at Urbana Champaign (E.F.), by CICBA and CONICET (F.A.S), by the NSF-CONICET International Cooperation Program through the grant NSF-INT-8902032 and by Fundaci6n Antorchas through the grant A-1321811-153.E S. would like to thank C. Fosco for useful comments. E.F. thanks the Universidad de La Plata for its kind hospitality.
PY - 1996/9/12
Y1 - 1996/9/12
N2 - We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction with perturbative results, we show that the coefficient of the Chern-Simons term of the effective actions for the gauge fields at finite temperature can be at most an integer function of the temperature. This is in a sense a generalized no-renormalization theorem. We also discuss the case of abelian theories and give indications that a similar condition should hold there too. We discuss consequences of our results to the thermodynamics of anyon superfluids and fractional quantum Hall systems.
AB - We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction with perturbative results, we show that the coefficient of the Chern-Simons term of the effective actions for the gauge fields at finite temperature can be at most an integer function of the temperature. This is in a sense a generalized no-renormalization theorem. We also discuss the case of abelian theories and give indications that a similar condition should hold there too. We discuss consequences of our results to the thermodynamics of anyon superfluids and fractional quantum Hall systems.
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U2 - 10.1016/0370-2693(96)00613-2
DO - 10.1016/0370-2693(96)00613-2
M3 - Article
AN - SCOPUS:0001226261
SN - 0370-2693
VL - 383
SP - 434
EP - 438
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4
ER -