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Title: Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions

Abstract

We construct static solutions to a SU(2) Yang-Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which is required by the scaling condition for the existence of finite energy solutions. The basic features of two different types of configurations are studied, corresponding to (multi)solitons with topological charge n{sup 2}, and soliton-antisoliton pairs with zero topological charge.

Authors:
 [1];  [2];  [1];  [3]
  1. Department of Mathematical Physics, National University of Ireland Maynooth (Ireland)
  2. Institut fuer Physik, Universitaet Oldenburg, Postfach 2503 D-26111 Oldenburg (Germany)
  3. (Ireland)
Publication Date:
OSTI Identifier:
21011096
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.045003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SOLITONS; SU-2 GROUPS; SYMMETRY; TOPOLOGY; YANG-MILLS THEORY

Citation Formats

Radu, Eugen, Shnir, Ya., Tchrakian, D. H., and School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4. Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.045003.
Radu, Eugen, Shnir, Ya., Tchrakian, D. H., & School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4. Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions. United States. doi:10.1103/PHYSREVD.75.045003.
Radu, Eugen, Shnir, Ya., Tchrakian, D. H., and School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4. Thu . "Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions". United States. doi:10.1103/PHYSREVD.75.045003.
@article{osti_21011096,
title = {Particlelike solutions to the Yang-Mills-dilaton system in d=4+1 dimensions},
author = {Radu, Eugen and Shnir, Ya. and Tchrakian, D. H. and School of Theoretical Physics--DIAS, 10, Burlington Road Dublin, 4},
abstractNote = {We construct static solutions to a SU(2) Yang-Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which is required by the scaling condition for the existence of finite energy solutions. The basic features of two different types of configurations are studied, corresponding to (multi)solitons with topological charge n{sup 2}, and soliton-antisoliton pairs with zero topological charge.},
doi = {10.1103/PHYSREVD.75.045003},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4 + 1 dimensions, subject to bi-azimuthal symmetry. The results are compared with similar solutions of the SU(2) Yang-Mills-dilaton model. Both particle-like and black hole solutions are considered. The text was submitted by the authors in English.
  • We construct a massive non-Abelian N=1 supersymmetric Yang-Mills theory on R{sup 3}. This is achieved by using a nonlocal gauge and a Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a noncentral extension of the Poincare algebra by the spacetime rotation group so(3). The incorporation of Chern-Simons couplings in the formalism is also presented. The dimensional reduction of the gauge theory and the supersymmetry algebra is related to a massive N=2 matrix quantum mechanics based on Euclidean Clifford{sub 2}(R)
  • The variational approach to the Hamilton formulation of Yang-Mills theory in Coulomb gauge developed by the present authors previously is applied to Yang-Mills theory in 2+1 dimensions and is confronted with the existing lattice data. We show that the resulting Dyson-Schwinger equations (DSE) yield consistent solutions in 2+1 dimensions only for infrared divergent ghost form factor and gluon energy. The obtained numerical solutions of the DSE reproduce the analytic infrared results and are in satisfactory agreement with the existing lattice date in the whole momentum range.
  • No abstract prepared.
  • The coupling of a dilaton to the SU(2)-Yang-Mills field leads to interesting nonperturbative static spherically symmetric solutions which are studied by mixed analytical and numerical methods. In the Abelian sector of the theory there are finite-energy magnetic and electric monopole solutions which saturate the Bogomol'nyi bound. In the non-Abelian sector there exists a countable family of globally regular solutions which are purely magnetic but have a zero Yang-Mills magnetic charge. Their discrete spectrum of energies is bounded from above by the energy of the Abelian magnetic monopole with unit magnetic charge. The stability analysis demonstrates that the solutions are saddlemore » points of the energy functional with an increasing number of unstable modes. The existence and instability of these solutions are explained'' by the Morse-theory argument recently proposed by Sudarsky and Wald.« less