Holographic integral equations and walking technicolour

Alvares, Raul, Evans, Nick, Gebauer, Astrid and Weatherill, George James (2009) Holographic integral equations and walking technicolour. Physical Review D (doi:10.1103/PhysRevD.81.025013).


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We study chiral symmetry breaking in the holographic D3–D7 system in a simple model with an arbitrary running coupling. We derive equations for the D7 embedding and show there is a light pion. In particular we present simple integral equations, involving just the running coupling and the quark self-energy, for the quark condensate and the pion decay constant. We compare these to the Pagels-Stokar or constituent quark model equivalent. We discuss the implications for walking technicolor theories. We also perform a similar analysis in the four-dimensional field theory whose dual is the nonsupersymmetric D3–D5 system and propose that it represents a walking theory in which the quark condensate has dimension 2+?3

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevD.81.025013
ISSNs: 1550-7998 (print)
1550-2368 (electronic)
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Physics and Astronomy
ePrint ID: 141500
Accepted Date and Publication Date:
15 January 2009UNSPECIFIED
Date Deposited: 29 Mar 2010 16:08
Last Modified: 31 Mar 2016 13:17
URI: http://eprints.soton.ac.uk/id/eprint/141500

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