Wilson lines in warped space: Dynamical symmetry breaking and restoration

Kin Ya Oda; Andreas Weiler

doi:10.1016/j.physletb.2004.12.007

Wilson lines in warped space: Dynamical symmetry breaking and restoration

Kin Ya Oda, Andreas Weiler

Associate Professorship of Theoretical Particle Physics at Colliders

University of Bonn

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

Abstract

The dynamics of Wilson lines integrated along a warped extra dimension has been unknown. We study a five-dimensional SU(N) pure gauge theory with Randall-Sundrum warped compactification on S1/Z2. We clarify the notion of large gauge transformations that are non-periodic on the covering space for this setup. We obtain Kaluza-Klein expansions of gauge and ghost fields for the most general twists and background gauge field configurations, which break the gauge symmetry at classical level in general. We calculate the one-loop effective potential and find that the symmetry corresponding to the subgroup allowing continuous Wilson lines is dynamically restored. The presented method can be directly applied to include extra fields. The connection to dynamical Scherk-Schwarz supersymmetry breaking in warped space is discussed.

Original language	English
Pages (from-to)	408-416
Number of pages	9
Journal	Physics Letters B
Volume	606
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2004.12.007
State	Published - 27 Jan 2005

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10.1016/j.physletb.2004.12.007

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title = "Wilson lines in warped space: Dynamical symmetry breaking and restoration",

abstract = "The dynamics of Wilson lines integrated along a warped extra dimension has been unknown. We study a five-dimensional SU(N) pure gauge theory with Randall-Sundrum warped compactification on S1/Z2. We clarify the notion of large gauge transformations that are non-periodic on the covering space for this setup. We obtain Kaluza-Klein expansions of gauge and ghost fields for the most general twists and background gauge field configurations, which break the gauge symmetry at classical level in general. We calculate the one-loop effective potential and find that the symmetry corresponding to the subgroup allowing continuous Wilson lines is dynamically restored. The presented method can be directly applied to include extra fields. The connection to dynamical Scherk-Schwarz supersymmetry breaking in warped space is discussed.",

author = "Oda, {Kin Ya} and Andreas Weiler",

note = "Funding Information: We wish to acknowledge the helpful communication with H. Abe, A.J. Buras, M. Drees, D. Ida, T. Kobayashi, A. Pomarol, A. Poschenrieder, M. Quiros, Y. Sakamura and A. Wingerter. K.O. thanks N. Haba, Y. Hosotani and S. Komine for useful discussions. The work of K.O. is partly supported by the SFB375 of the Deutsche Forschungsgemeinschaft and A.W. is partly supported by the German Bundesministerium f{\"u}r Bildung und Forschung under the contract 05HT4WOA/3 and the DFG Project Bu. 706/1-2.",

year = "2005",

month = jan,

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doi = "10.1016/j.physletb.2004.12.007",

language = "English",

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T1 - Wilson lines in warped space

T2 - Dynamical symmetry breaking and restoration

AU - Oda, Kin Ya

AU - Weiler, Andreas

N1 - Funding Information: We wish to acknowledge the helpful communication with H. Abe, A.J. Buras, M. Drees, D. Ida, T. Kobayashi, A. Pomarol, A. Poschenrieder, M. Quiros, Y. Sakamura and A. Wingerter. K.O. thanks N. Haba, Y. Hosotani and S. Komine for useful discussions. The work of K.O. is partly supported by the SFB375 of the Deutsche Forschungsgemeinschaft and A.W. is partly supported by the German Bundesministerium für Bildung und Forschung under the contract 05HT4WOA/3 and the DFG Project Bu. 706/1-2.

PY - 2005/1/27

Y1 - 2005/1/27

N2 - The dynamics of Wilson lines integrated along a warped extra dimension has been unknown. We study a five-dimensional SU(N) pure gauge theory with Randall-Sundrum warped compactification on S1/Z2. We clarify the notion of large gauge transformations that are non-periodic on the covering space for this setup. We obtain Kaluza-Klein expansions of gauge and ghost fields for the most general twists and background gauge field configurations, which break the gauge symmetry at classical level in general. We calculate the one-loop effective potential and find that the symmetry corresponding to the subgroup allowing continuous Wilson lines is dynamically restored. The presented method can be directly applied to include extra fields. The connection to dynamical Scherk-Schwarz supersymmetry breaking in warped space is discussed.

AB - The dynamics of Wilson lines integrated along a warped extra dimension has been unknown. We study a five-dimensional SU(N) pure gauge theory with Randall-Sundrum warped compactification on S1/Z2. We clarify the notion of large gauge transformations that are non-periodic on the covering space for this setup. We obtain Kaluza-Klein expansions of gauge and ghost fields for the most general twists and background gauge field configurations, which break the gauge symmetry at classical level in general. We calculate the one-loop effective potential and find that the symmetry corresponding to the subgroup allowing continuous Wilson lines is dynamically restored. The presented method can be directly applied to include extra fields. The connection to dynamical Scherk-Schwarz supersymmetry breaking in warped space is discussed.

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VL - 606

SP - 408

EP - 416

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

Wilson lines in warped space: Dynamical symmetry breaking and restoration

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