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Journal of High Energy Physics Volume 2005 JHEP09(2005) Create an alert RSS this journal

Pavel Castro-Villarreal et al JHEP09(2005)066 doi:10.1088/1126-6708/2005/09/066

Quantum effective potential for U(1) fields on S2L × S2L

Pavel Castro-Villarreal1,2, Rodrigo Delgadillo-Blando1,2 and Badis Ydri1,3

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Abstract References Cited By
We compute the one-loop effective potential for noncommutative U(1) gauge fields on S2L × S2L. We show the existence of a phase transition in the model from the 4-dimensional space S2L × S2L to a matrix phase where the spheres collapse under the effect of quantum fluctuations. It is also shown that the transition to the matrix phase occurs at infinite value of the gauge coupling constant when the mass of the two normal components of the gauge field on S2L × S2L is sent to infinity.

Keywords

Nonperturbative Effects

Matrix Models

Gauge Symmetry

Non-Commutative Geometry

 

E-print Number: hep-th/0506044

Cited: by |

Refers: to

PACS

11.10.Nx Noncommutative field theory

11.30.-j Symmetry and conservation laws

02.40.Gh Noncommutative geometry

11.25.Yb M theory

11.15.Tk Other nonperturbative techniques

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 09 (September 2005)

Received 4 June 2005, accepted for publication 6 September 2005

Published 27 September 2005



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