Published May 11, 2007 | Version v1
Journal article

The integral form of APS boundary conditions in the bag model

  • 1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow 117 218 (Russian Federation)
  • 2. Institute of Theoretical Physics, Friedrich-Schiller University, Max-Wien-Platz 1, 07743 Jena (Germany)

Description

We propose an integral form of Atiah-Patodi-Singer spectral boundary conditions (SBC) and find explicitly the integral projector onto SBC for the three-dimensional spherical cavity. After discussion of a simple example we argue that the relation between the projector and fermion propagator is universal and stays valid independently of the bag form and space dimension

Additional details

Identifiers

DOI
10.1088/1751-8113/40/19/016;
PII
S1751-8113(07)38756-8;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
19
Journal Page Range
p. 5163-5172
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38068955
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BAG MODEL; BOUNDARY CONDITIONS; FERMIONS; INTEGRALS; PROPAGATOR; SPHERICAL CONFIGURATION; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
COMPOSITE MODELS; CONFIGURATION; EXTENDED PARTICLE MODEL; MATHEMATICAL MODELS; PARTICLE MODELS; QUARK MODEL