Artigo
Quadratic effective action for QED in D=2,3 dimensions
Fecha
2000-06-15Registro en:
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 61, n. 12, p. 1-4, 2000.
0556-2821
10.1103/PhysRevD.61.125018
WOS:000087678100066
2-s2.0-17144369582
2-s2.0-17144369582.pdf
8279393876415608
6314084638411003
Autor
SUNY
Universidade Estadual Paulista (Unesp)
Resumen
We calculate the effective action for quantum electrodynamics (QED) in D=2,3 dimensions at the quadratic approximation in the gauge fields. We analyze the analytic structure of the corresponding nonlocal boson propagators nonperturbatively in k/m. In two dimensions for any nonzero fermion mass, we end up with one massless pole for the gauge boson. We also calculate in D=2 the effective potential between two static charges separated by a distance L and find it to be a linearly increasing function of L in agreement with the bosonized theory (massive sine-Gordon model). In three dimensions we find nonperturbatively in k/m one massive pole in the effective bosonic action leading to screening. Fitting the numerical results we derive a simple expression for the functional dependence of the boson mass upon the dimensionless parameter e2/m. ©2000 The American Physical Society.