Impacto
Downloads
Downloads per month over past year
Gómez Nicola, Ángel and Steer, D. A. (1999) Thermal bosonisation in the sineGordon and massive Thirring models. Nuclear physics B, 508 . pp. 409499. ISSN 05503213

PDF
1MB 
Official URL: http://dx.doi.org/10.1016/S05503213(99)001285
URL  URL Type 

http://www.sciencedirect.com  Publisher 
Abstract
We study bosonisation in the massive Thirring and sineGordon models at finite temperature T and nonzero fermion chemical potential μ. For that purpose we use both canonical operator and pathintegral approaches, paying particular attention to the issues of thermal normal ordering and renormalisation. At T > 0 and μ = 0, the massive Thirring model bosonises to the sine Gordon model with the same T =0 identification between coupling constants. We prove that not only the partition functions of the two models coincide, as was recently shown, but also that thermal averages of zerocharge operators can be identified. In particular, analysis of the point split regularised fermion current then leads to the thermal equivalence between sineGordon kinks and Thirring fermions. At μ ≠ 0, T > 0 and working in perturbation theory about the massless Thirring model, we show that the bosonised theory is the sineGordon model plus an additional topological term which accounts for the existence of net fermion charge excitations (the fermions or the kinks) in the thermal bath. This result generalises one recently obtained for the massless case, and it is the twodimensional version of the low energy QCD chiral Lagrangian at finite baryon density.
Item Type:  Article 

Additional Information:  © 1999 Elsevier Science B.V. 
Uncontrolled Keywords:  2 Dimensions; Finitetemperature; Currentalgebra; Wicks theorem 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  30639 
Deposited On:  05 Jun 2015 09:22 
Last Modified:  10 Dec 2018 15:10 
Origin of downloads
Repository Staff Only: item control page