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The Cosmological Constant and Volume-Preserving Diffeomorphism Invariants | | R. Brooks
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1 Oct 1993 | | Journal: | Nucl. Phys. B423 (1994) 197 | | Subject: | hep-th | | Abstract: | Observables in the quantum field theories of $(D-1)$-form fields, $ca$, on $D$-dimensional, compact and orientable manifolds, $M$, are computed. Computations of the vacuum value of $T_{ab}$ find it to be the metric times a function of the volume of spacetime, $Omega(M)$. Part of this function of $Omega$ is a finite zero-mode contribution. The correlation functions of another set of operators give intersection numbers on $M$. Furthermore, a similar computation for products of Wilson area operators results in a function of the volumes of the intersections of the submanifolds the operators are defined on. In addition, scalar field couplings are introduced and potentials are induced after integrating out the $ca$ field. Lastly, the thermodynamics of the pure theories is found to be analogous to the zero-point motion of a scalar particle. The coupling of a Gaussian scalar field to the $ca$ field is found to manifest itself on the free energy at high temperatures and/or small volumes. | | Source: | arXiv, hep-th/9310007 | | Services: | Forum | Review | PDF | Favorites | |
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