Radiative Corrections for the Gauged Thirring Model in Causal Perturbation Theory
نویسنده
چکیده
We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2 + 1) dimensions, with one massive fermion flavor, in the framework of the causal perturbation theory. In contrast to QED3, the corresponding two-point function turns out to be infrared finite on the mass shell. Then, by means of a Ward identity, we derive the on-shell vertex correction and discuss the role played by causality for nonrenormalizable theories. PACS: 11.10.Kk; 11.15.-q keywords: Thirring model; radiative corrections; causality
منابع مشابه
Radiative Corrections for the Causal Thirring Model
We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2 + 1) dimensions, with one massive fermion flavor, in the framework of the causal perturbation theory. In contrast to QED3, the corresponding two-point function turns out to be infrared finite on the mass shell. Then, by means of a Ward identity, we derive the on-shell vertex correction and discuss the role played b...
متن کاملGauged Thirring Model in the Heisenberg Picture
We consider the (2+1)-dimensional gauged Thirring model in the Heisenberg picture. In this context we evaluate the vacuum polarization tensor as well as the corrected gauge boson propagator and address the issues of generation of mass and dynamics for the gauge boson (in the limits of QED3 and Thirring model as a gauge theory, respectively) due to the radiative corrections. On leave from Depart...
متن کاملar X iv : h ep - t h / 98 03 07 9 v 1 1 0 M ar 1 99 8 Causal Theory for the Gauged Thirring Model
We consider the (2 + 1)-dimensional massive Thirring model as a gauge theory, with one fermion flavor, in the framework of the causal perturbation theory and address the problem of dynamical mass generation for the gauge boson. In this context we get an unambiguous expression for the coefficient of the induced Chern-Simons term.
متن کاملThe Gauged Thirring Model
We propose the gauged Thirring model as a natural gauge-invariant generalization of the Thirring model, four-fermion interaction of current-current type. In the strong gauge-coupling limit, the gauged Thirring model reduces to the recently proposed reformulation of the Thirring model as a gauge theory. Especially, we pay attention to the effect coming from the kinetic term for the gauge boson f...
متن کاملar X iv : 0 70 9 . 23 77 v 2 [ he p - ph ] 5 D ec 2 00 7 Electroweak Sudakov Corrections using Effective Field Theory
The Large Hadron Collider (LHC) will study processes at energies √ s much larger than the masses of the W and Z bosons. Radiative (Sudakov) corrections to such processes contain logarithms L = log(s/M W,Z), and one gets two factors of L for each order in perturbation theory [1]. At LHC energies, these Sudakov corrections are not small — a typical electroweak correction αL/(4π sin θW ) ∼ 0.15 at...
متن کامل