On the Renormalizability of Theories with Gauge Anomalies

We consider the detailed renormalization of two (1+1)-dimensional gauge theories which are quantized without preserving gauge invariance: the chiral and the "anomalous" Schwinger models. By regularizing the non-perturbative divergences that appear in fermionic Green's functions of both models, we show that the "tree level" photon propagator is ill-defined, thus forcing one to use the complete photon propagator in the loop expansion of these functions. We perform the renormalization of these divergences in both models to one loop level, defining it in a consistent and semi-perturbative sense that we propose in this paper.Comment: Final version, new title and abstract, introduction and conclusion rewritten, detailed semiperturbative discussion included, references added; to appear in International Journal of Modern Physics

Summing up the perturbation series in the Schwinger Model

Perturbation series for the electron propagator in the Schwinger Model is summed up in a direct way by adding contributions coming from individual Feynman diagrams. The calculation shows the complete agreement between nonperturbative and perturbative approaches.Comment: 10 pages (in REVTEX

3-DIMENSIONAL RELATIVISTIC MODEL OF A BOUND PARTICLE IN AN INTENSE LASER-PULSE .2.

Faisal F, RADOZYCKI T. 3-DIMENSIONAL RELATIVISTIC MODEL OF A BOUND PARTICLE IN AN INTENSE LASER-PULSE .2. PHYSICAL REVIEW A. 1993;48(1):554-557.Using an exactly solvable model of a bound Klein-Gordon particle in an intense laser field, we obtain the above-threshold energy spectra of the ejected electron for intensities in the range I = 7 x 10(14) W/cm2 to 10(20) W/cm2, and compare them with the predictions of the Schrodinger theory. The present calculations also allow us to test an approximation for relativistic intensities, which should be useful for real systems

MULTIPHOTON EJECTION OF STRONGLY BOUND RELATIVISTIC ELECTRONS IN VERY INTENSE LASER FIELDS

RADOZYCKI T, Faisal F. MULTIPHOTON EJECTION OF STRONGLY BOUND RELATIVISTIC ELECTRONS IN VERY INTENSE LASER FIELDS. PHYSICAL REVIEW A. 1993;48(3):2407-2412.We investigate multiphoton ejection probability of strongly bound electrons in relativistically intense laser fields. A solvable model of a Klein-Gordon electron bound in a finite-range separable potential and interacting with a circularly polarized plane-wave field is used for the analysis. For binding energies of the order of several keV the rates of electron ejection for omega=100 eV are found to be significant at relativistic intensities but are extremely small for omega=10 eV. For lower binding energies spectra are obtained for the available CO2 laser frequency (omega=0.117 eV) and Nd laser frequency (omega=1.169 eV) Numerical results show the stabilization effect for both relativistic and nonrelativistic intensities and subthreshold frequencies

3-DIMENSIONAL RELATIVISTIC MODEL OF A BOUND PARTICLE IN AN INTENSE LASER FIELD

Faisal F, RADOZYCKI T. 3-DIMENSIONAL RELATIVISTIC MODEL OF A BOUND PARTICLE IN AN INTENSE LASER FIELD. PHYSICAL REVIEW A. 1993;47(5):4464-4473.We analyze a three-dimensional model of a Klein-Gordon particle in a short-range separable potential and interacting with an intense plane-wave electromagnetic field. In the specific case of the circular polarization of the radiation, we find an exact solution of the Klein-Gordon equation of the system and derive analytic expressions for obtaining the total and partial rates of particle ejection by N-photon absorption, the energy spectrum of the ejected particle, as well as the amplitudes for stimulated bremsstrahlung and its inverse