Auxiliary Field Method in 4- and 3- dimensional Nambu--Jona-Lasinio Models
| Autor: | Taro Kashiwa, Tomohiko Sakaguchi |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Chiral anomaly
Physics High Energy Physics - Theory Nuclear and High Energy Physics Spontaneous symmetry breaking High Energy Physics::Lattice High Energy Physics::Phenomenology FOS: Physical sciences Fermion Auxiliary field High Energy Physics - Theory (hep-th) Quantum electrodynamics Nambu–Jona-Lasinio model Invariant mass Chiral symmetry breaking Boson |
| DOI: | 10.48550/arxiv.hep-th/0306008 |
| Popis: | In order to check the validity of auxiliary field method in the Nambu--Jona-Lasinio model, the one-loop (=quantum) effects of auxiliary fields to the gap equation are considered with N-component fermion models in 4 and 3 dimensions. N is not assumed so large but regarded as a loop expansion parameter. To overcome infrared divergences caused by the Nambu-Goldstone bosons, an intrinsic fermion mass is assumed. It is shown that the loop expansion can be justified by this intrinsic mass whose lower limit is also given. It is found that due to quantum effects, chiral symmetry breaking ($\chi$SB) is restored in D=4 and D=3 when the four-Fermi coupling is large. However, $\chi$SB is enhanced in a small coupling region in D=3. Comment: 16 pages, 12 figures |
| Databáze: | OpenAIRE |
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