Determinants of Dirac operators with local boundary conditions

被引:6
作者
Falomir, H [1 ]
Saravi, REG [1 ]
Muschietti, MA [1 ]
Santangelo, EM [1 ]
Solomin, JE [1 ]
机构
[1] NATL UNIV LA PLATA,FAC CIENCIAS EXACTAS,DEPT MATEMAT,LA PLATA,ARGENTINA
关键词
D O I
10.1063/1.531700
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study functional determinants for Dirac operators on manifolds with boundary. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green's functions. We finally apply this result to the case of a bidimensional disk under baglike conditions. (C) 1996 American Institute of Physics.
引用
收藏
页码:5805 / 5819
页数:15
相关论文
共 25 条
[1]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .2. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (NOV) :405-432
[2]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .3. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (JAN) :71-99
[3]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) :43-69
[4]  
Booss B, 2012, TOPOLOGY ANAL ATIYAH
[5]   BARYON STRUCTURE IN BAG THEORY [J].
CHODOS, A ;
JAFFE, RL ;
JOHNSON, K ;
THORN, CB .
PHYSICAL REVIEW D, 1974, 10 (08) :2599-2604
[6]   NEW EXTENDED MODEL OF HADRONS [J].
CHODOS, A ;
JAFFE, RL ;
JOHNSON, K ;
THORN, CB ;
WEISSKOP.VF .
PHYSICAL REVIEW D, 1974, 9 (12) :3471-3495
[7]   FERMIONIC DETERMINANTS FOR CHIRAL-BAG-LIKE 2-DIMENSIONAL SYSTEMS [J].
FALOMIR, H ;
MUSCHIETTI, MA ;
SANTANGELO, EM .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (04) :989-996
[8]  
FALOMIR H, UNPUB B SCI MATH
[9]   FUNCTIONAL DETERMINANTS AND GEOMETRY [J].
FORMAN, R .
INVENTIONES MATHEMATICAE, 1987, 88 (03) :447-493
[10]   THE ETA INVARIANT FOR A CLASS OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS [J].
GILKEY, PB ;
SMITH, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (01) :85-131