✦ LIBER ✦

On the Meissner effect in gauge theories: Graham M. Shore. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, and Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 88 KB
Volume: 134
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(81)90014-2

No coin nor oath required. For personal study only.

✦ Synopsis

case it is well known) but also for the XY-model. It signals the existence of distinct surface and bulk transitions for sufficiently large values of KJK,.

For the Ising model the complete program can be carried out and the phase diagram for films of arbitrary thickness is constructed. For the double layer XY-model a sufftciently complex Migdal-style renormalization appears to be unfeasible, presumably due to the possible presence of strings between both layers. Therefore, in an alternative approach, two representations for the partition function of the double layer XY-model are given. The system can be described in terms of its topological excitations, i.e., vortices on each layer and strings, either closed or terminating in vortices, between them. The system is also written as three coupled Coulomb gases. Based on this representation a renormalization group is found, and used, together with a Griffbhs inequality for the correlation functions, to obtain information on the phase diagram. If there is a single phase transition, there is one phase where the correlations exhibit power law behavior and another where they fall off exponentially. The transition temperature increases monotonously with interlayer coupling to twice its value in two dimensions, but the nature of the phase transition for any finite inter-layer coupling appears to be different from that at zero coupling. We suggest that this is associated with the behavior of the internal strings. These results should be relevant for the renormalization of the film with isotropic bulk couplings as well as for layered systems of finite thickness, with different inter-and intra-layer couplings.

On the Meissner

Effect in Gauge Theories.

📜 SIMILAR VOLUMES

Symmetry restoration and the background

Symmetry restoration and the background field method in gauge theories: Graham M. Shore. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, and Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 78 KB

CP violation in gauge theories and the e

CP violation in gauge theories and the electric dipole moment of the neutron: D. V. Nanopoulos and Asim Yildiz, Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138; and Paul H. Cox, Research Laboratory of Mechanics, University of New Hampshire, Durham, New Hampshire 03824

📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 148 KB

We show that the superspace formalism follows from the component formalism. After constructing the supervielbeins and superconnections off-shell in second order formalism with the minimal set of auxiliary fields, we show that the resulting supertorsions satisfy the constraints of the various equival

Dynamics of 2D anisotropic solids, smect

Dynamics of 2D anisotropic solids, smectics, and nematics: S. Ostlund, Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853; John Toner, Department of Physics, Harvard University, Cambridge, Massachusetts 02138 and The James Franck Institute and the Department of Physics, The University of Chicago, Chicago, Illinois 60637; and Annette Zippelius, Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853 and Physik-Department, Technische Universität München, 8046 Garching, W. Germany.

📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 72 KB