MESON-FERMION PV-INTERACTION IN THE THIRRING MODEL II

Journal Article · Fri Jan 01 04:00:00 EST 1960 · Acta Physica Academiae Scientiarum Hungaricae (Hungary) Supersedes Hung. Phys. Actama. Surg.

DOI:https://doi.org/10.1007/BF03157694· OSTI ID:4111191

Pocsik, G

The Thirring model completed by a meson-fermion PV coupling is discussed from the point of view of renormalization. It is shown that in the perturbative approach the S matrix contains unrenormalizable divergences coming from the PV part. For the renormalization of the PV part the (neutrino-like) n-fermion m- meson Green's functions of the PS(PV) theory are examined in a nonperturbative approach. The propagators can be made finite by Z/sub 2/ re normalization. After having calculated the exact Green's functions it is easily seen that just as in the S(V) theory there are no physical effects. The results, which are exact in one dimension, have only approximate validity in the real four- dimensional case. The approximation means omission of all the closed vacuum loops. (auth)

• Research Organization: Roland Eotvos Univ., Budapest
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-003319
• OSTI ID: 4111191
• Journal Information: Acta Physica Academiae Scientiarum Hungaricae (Hungary) Supersedes Hung. Phys. Actama. Surg., Journal Name: Acta Physica Academiae Scientiarum Hungaricae (Hungary) Supersedes Hung. Phys. Actama. Surg. Vol. Vol: 12; ISSN APAHA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

FERMIONS
GREEN FUNCTION
INTERACTIONS
MESONS
NEUTRINOS
PERTURBATION THEORY
PHYSICS