Artículos de revistas
Perturbative bosonization from two-point correlation functions
Fecha
2003-06-15Registro en:
Physical Review D. College Pk: American Physical Soc, v. 67, n. 12, 6 p., 2003.
0556-2821
10.1103/PhysRevD.67.125012
WOS:000184075300074
WOS000184075300074.pdf
8279393876415608
6314084638411003
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
Here we address the problem of bosonizing massive fermions without making expansions in the fermion masses in both massive QED(2) and QED(3) with N fermion flavors including also a Thirring coupling. We start from two-point correlators involving the U(1) fermionic current and the gauge field. From the tensor structure of those correlators we prove that the U(1) current must be identically conserved (topological) in the corresponding bosonized theory in both D=2 and D=3 dimensions. We find an effective generating functional in terms of bosonic fields which reproduces these two-point correlators and from that we obtain a map of the Lagrangian density (ψ) over bar (r)(ipartial derivative-m)psi(r) into a bosonic one in both dimensions. This map is nonlocal but it is independent of the electromagnetic and Thirring couplings, at least in the quadratic approximation for the fermionic determinant.