Exact asymptotic behaviour of fermion correlation functions in the massive Thirring model
نویسنده
چکیده
We obtain an exact asymptotic expression for the two-point fermion correlation functions in the massive Thirring model (MTM) and show that, for β = 8π, they reproduce the exactly known corresponding functions of the massless theory, explicitly confirming the irrelevance of the mass term at this point. This result is obtained by using the Coulomb gas representation of the fermionic MTM correlators in the bipolar coordinate system. PACS numbers: 11.10.Jj, 11.10.Kk, 11.10.Lm Submitted to: J. Phys. A: Math. Gen.
منابع مشابه
Form factors of soliton-creating operators in the sine-Gordon model
We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or soliton-creating) operators in the sine-Gordon model. The normalization constants, which constitute the main content of our proposal, allow one to find exact relations between the shortand long-distance asymptotics of the correlation functions. We make predictions concerni...
متن کاملOn unrenormalizability of the massless Thirring model
We discuss the renormalizability of the massless Thirring model in terms of the causal fermion Green functions and correlation functions of left—right fermion densities. We obtain the most general solution of the massless Thirring model with dynamical dimensions of fermion fields, parameterized by two arbitrary parameters. We show that in the massless Thirring model there are no solutions which...
متن کامل0 v 1 1 0 Ju l 1 99 7 Different Approaches for Bosonization in Higher Dimensions
We describe two distinct approaches for bosonization in higher dimensions ; one is based on a direct comparison of current correlation functions while the other relies on a Master lagrangean formalism. These are used to bosonize the Massive Thirring Model in three and four dimensions in the weak coupling regime but with an arbitrary fermion mass. In both approaches the explicit bosonized lagran...
متن کاملChiral symmetry restoration in the massive Thirring model at finite T and μ : Dimensional reduction and the Coulomb gas
Chiral symmetry restoration in the massive Thirring model at finite T and µ: Dimensional reduction and the Coulomb gas Abstract We show that in certain limits the (1+1)-dimensional massive Thirring model at finite temperature T is equivalent to a one-dimensional Coulomb gas of charged particles at the same T. This equivalence is then used to explore the phase structure of the massive Thirring m...
متن کاملA New Approach for Bosonization of Massive Thirring Model in Three Dimensions
We develop a new approach for bosonization based on the direct comparison of current correlation functions and apply it to the case of the Massive Thirring Model in three dimensions in the weak coupling regime, but with an arbitrary mass. Explicit bosonized forms for the lagrangian and the current are obtained in terms of a vector gauge field. Exact results for the corresponding expressions are...
متن کامل