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Title: A Calculable Field-Theoretic 'Landscape': Vacuum Structure, Phase Transitions, and Infrared Fixed Points

Abstract

Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can be interpreted as deconstructed versions of higher-dimensional gauge theory models with fluxes in the compact space. We find that the vacuum structure of these models is very rich, defined by parameter-space regions with different classes of stable vacua separated by boundaries. This allows us to explicitly calculate physical quantities such as the supersymmetry-breaking scale, the presence or absence of R-symmetries, and probabilities of stable versus unstable vacua. Furthermore, we find that this landscape picture evolves with energy, allowing vacua to undergo phase transitions as they cross the boundaries between different regions in the landscape. Surprisingly, we show that this landscape flow approaches an infrared fixed point, suggesting that it may not be necessary to determine all of the parameters of the ultraviolet theory in order to deduce relevant features of the low-energy phenomenology.

Authors:
 [1];  [2];  [3];  [4]
  1. Department of Physics, University of Arizona, Tucson, AZ 85721 (United States)
  2. Centre de Physique Theorique, Ecole Polytechnique, F-91128, Palaiseau Cedex (France)
  3. (France)
  4. School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455 (United States)
Publication Date:
OSTI Identifier:
20729160
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 805; Journal Issue: 1; Conference: PASCOS 2005: 11. international symposium on particles, strings, and cosmology, Gyeongju (Korea, Republic of), 30 May - 4 Jun 2005; Other Information: DOI: 10.1063/1.2149700; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; GROUP THEORY; PHASE TRANSFORMATIONS; PROBABILITY; SPACE; STRING MODELS; SYMMETRY; SYMMETRY BREAKING; ULTRAVIOLET RADIATION; UNIFIED GAUGE MODELS; VACUUM STATES

Citation Formats

Dienes, Keith R., Dudas, Emilian, LPT, Bat. 210, Univ. Paris-Sud, F-91405, Orsay Cedex, and Gherghetta, Tony. A Calculable Field-Theoretic 'Landscape': Vacuum Structure, Phase Transitions, and Infrared Fixed Points. United States: N. p., 2005. Web. doi:10.1063/1.2149700.
Dienes, Keith R., Dudas, Emilian, LPT, Bat. 210, Univ. Paris-Sud, F-91405, Orsay Cedex, & Gherghetta, Tony. A Calculable Field-Theoretic 'Landscape': Vacuum Structure, Phase Transitions, and Infrared Fixed Points. United States. doi:10.1063/1.2149700.
Dienes, Keith R., Dudas, Emilian, LPT, Bat. 210, Univ. Paris-Sud, F-91405, Orsay Cedex, and Gherghetta, Tony. Fri . "A Calculable Field-Theoretic 'Landscape': Vacuum Structure, Phase Transitions, and Infrared Fixed Points". United States. doi:10.1063/1.2149700.
@article{osti_20729160,
title = {A Calculable Field-Theoretic 'Landscape': Vacuum Structure, Phase Transitions, and Infrared Fixed Points},
author = {Dienes, Keith R. and Dudas, Emilian and LPT, Bat. 210, Univ. Paris-Sud, F-91405, Orsay Cedex and Gherghetta, Tony},
abstractNote = {Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can be interpreted as deconstructed versions of higher-dimensional gauge theory models with fluxes in the compact space. We find that the vacuum structure of these models is very rich, defined by parameter-space regions with different classes of stable vacua separated by boundaries. This allows us to explicitly calculate physical quantities such as the supersymmetry-breaking scale, the presence or absence of R-symmetries, and probabilities of stable versus unstable vacua. Furthermore, we find that this landscape picture evolves with energy, allowing vacua to undergo phase transitions as they cross the boundaries between different regions in the landscape. Surprisingly, we show that this landscape flow approaches an infrared fixed point, suggesting that it may not be necessary to determine all of the parameters of the ultraviolet theory in order to deduce relevant features of the low-energy phenomenology.},
doi = {10.1063/1.2149700},
journal = {AIP Conference Proceedings},
number = 1,
volume = 805,
place = {United States},
year = {Fri Dec 02 00:00:00 EST 2005},
month = {Fri Dec 02 00:00:00 EST 2005}
}
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  • Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can be interpreted as deconstructed versions of higher-dimensional gauge theory models with fluxes in the compact space. We find that the vacuum structure of these models is very rich, defined by parameter-space regions with different classes of stable vacua separated by boundaries. This allows us to explicitly calculate physical quantities such as the supersymmetry-breaking scale, the presence or absence of R symmetries, and probabilities of stable versus unstable vacua. Furthermore, we find thatmore » this landscape picture evolves with energy, allowing vacua to undergo phase transitions as they cross the boundaries between different regions in the landscape. We also demonstrate that supergravity effects are crucial in order to stabilize most of these vacua, and in order to allow the possibility of canceling the cosmological constant.« less