Finite size effects in the Gross-Neveu model with isospin chemical potential
- Institute of Physics, Humboldt-University Berlin, 12489 Berlin (Germany)
- Institute for High Energy Physics, 142281 Protvino, Moscow Region (Russian Federation)
- Faculty of Physics, Moscow State University, 119991 Moscow (Russian Federation)
The properties of the two-flavored Gross-Neveu model in the (1+1)-dimensional R{sup 1}xS{sup 1} spacetime with compactified space coordinate are investigated in the presence of the isospin chemical potential {mu}{sub I}. The consideration is performed in the limit N{sub c}{yields}{infinity}, i.e. in the case with infinite number of colored quarks. It is shown that at L={infinity} (L is the length of the circumference S{sup 1}) the pion condensation phase is realized for arbitrary small nonzero {mu}{sub I}. At finite values of L, the phase portraits of the model in terms of parameters {nu}{approx}{mu}{sub I} and {lambda}{approx}1/L are obtained both for periodic and antiperiodic boundary conditions of the quark field. It turns out that in the plane ({lambda},{nu}) there is a strip 0{<=}{lambda}<{lambda}{sub c} which lies as a whole inside the pion condensed phase. In this phase the pion condensation gap is an oscillating function vs both {lambda} (at fixed {nu}) and {nu} (at fixed {lambda})
- OSTI ID:
- 21250539
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 4; Other Information: DOI: 10.1103/PhysRevD.78.045008; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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