Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field
19929 pages
Published in:
- Theor.Math.Phys. 90 (1992) 1-6,
- Teor.Mat.Fiz. 90 (1992) 3-11
DOI:
Report number:
- IFVE-91-13
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Abstract: (Springer)
The phase structure of the (2+1) Gross-Neveu model at nonzero temperatureT and in an external fieldH is studied in the leading order of the 1/N expansion. It is shown that for any fixed value ofT there exists a critical valueHc of the magnetic field such that whenH>Hc the chiral invariance of the model is spontaneously broken. For fixedH, there exists a critical value of the temperatureTc(H) such that forT>Tc(H) the original symmetry of the model is restored. The phase portrait of the model is constructed in theH-T plane.- Gross-Neveu model
- dimension: 3
- finite temperature
- magnetic field: external field
- critical phenomena
- effective potential
- expansion 1/N
- symmetry: chiral
- spontaneous symmetry breaking
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