Finite-temperature properties of the Dirac operator under local boundary conditions

被引:12
作者
Beneventano, CG [1 ]
Santangelo, EM [1 ]
机构
[1] Univ Nacl La Plata, Dept Fis, RA-1900 La Plata, Argentina
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 39期
关键词
D O I
10.1088/0305-4470/37/39/013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the finite-temperature free energy and fermion number for Dirac fields in a one-dimensional spatial segment, under two different members of the family of local boundary conditions defining a self-adjoint Euclidean Dirac operator in two dimensions. For one of such boundary conditions, compatible with the presence of a spectral asymmetry, we discuss in detail the contribution of this part of the spectrum to the zeta-regularized determinant of the Dirac operator and, thus, to the finite-temperature properties of the theory.
引用
收藏
页码:9261 / 9273
页数:13
相关论文
共 23 条
[1]   CHEMICAL-POTENTIALS IN GAUGE-THEORIES [J].
ACTOR, A .
PHYSICS LETTERS B, 1985, 157 (01) :53-56
[2]   Strong ellipticity and spectral properties of chiral bag boundary conditions [J].
Beneventano, CG ;
Gilkey, PB ;
Kirsten, K ;
Santangelo, EM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (45) :11533-11543
[3]   Spectral asymmetry for bag boundary conditions [J].
Beneventano, CG ;
Santangelo, EM ;
Wipf, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (44) :9343-9354
[4]   New developments in the Casimir effect [J].
Bordag, M ;
Mohideen, U ;
Mostepanenko, VM .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (1-3) :1-205
[5]   Dirac functional determinants in terms of the eta invariant and the noncommutative residue [J].
Cognola, G ;
Elizalde, E ;
Zerbini, S .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 237 (03) :507-532
[6]   CONFINED 2-DIMENSIONAL FERMIONS AT FINITE-DENSITY [J].
DEFRANCIA, M ;
FALOMIR, H ;
LOEWE, M ;
SANTANGELO, EM .
PHYSICAL REVIEW D, 1995, 51 (12) :7132-7139
[7]   EFFECTIVE LAGRANGIAN AND ENERGY-MOMENTUM TENSOR IN DESITTER SPACE [J].
DOWKER, JS ;
CRITCHLEY, R .
PHYSICAL REVIEW D, 1976, 13 (12) :3224-3232
[8]   Finite temperature induced fermion number for quarks in a chiral field [J].
Dunne, GV ;
Rao, K .
PHYSICAL REVIEW D, 2003, 67 (04)
[9]  
ELIZALDE E, 1995, 10 PHYSICAL APPL SPE
[10]  
Elizalde E., 1994, Zeta Regularization Techniques with Applications