Epstein zeta function and toy p-branes from old string action
- 1 January 1991
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 8 (1) , 75-81
- https://doi.org/10.1088/0264-9381/8/1/011
Abstract
The authors study toy p-branes from old string action, and regularize their Casimir energies by the Epstein zeta function. They obtain the special dimensions for the open (p=2, 3, 4) and closed (p=2, 3, 4, 6, 8) branes with equal sides. The upper bound of p is obtained. They also discuss the special dimensions for open and closed membranes with unequal sides. The resulting dimensions may be integers for the case of unequal sides.Keywords
This publication has 18 references indexed in Scilit:
- Multidimensional monopole and supermembrane vacua with nontrivial circle bundlePhysical Review D, 1989
- Casimir energies and special dimensions in a toy model for branesPhysics Letters B, 1988
- Supermembrane monopole vacuaPhysics Letters B, 1988
- Supermembranes: the first fifteen weeksClassical and Quantum Gravity, 1988
- Relativistic minimal surfacesPhysics Letters B, 1987
- Superstrings in D=10 from supermembranes in D=11Physics Letters B, 1987
- Supermembranes and eleven-dimensional supergravityPhysics Letters B, 1987
- Classical and quantum mechanics of free relativistic membranesNuclear Physics B, 1976
- An extensible model of the electronProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
- Quantum Theory of Non-Local Fields. Part I. Free FieldsPhysical Review B, 1950