All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Physics Review D

Volume

43

Issue

8

Publication Date

4-15-1991

First Page

2617

Last Page

2621

Abstract

We consider spacetime as having an a priori arbitrary, possibly fractional dimension p>0 and propose a new variational principle for actions defined on p-dimensional spaces. Demanding that the action be stationary with respect to variations in p leads to a constraint equation whose solution yields an explicit determination of the dimension at the classical level. We illustrate these concepts by analyzing a model which reduces to free scalar field theory when p is any positive integer.

Comments

Published by American Physical Society in Physical Review D. Publisher PDF is available for download through link above.

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