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Holographic integral equations and walking technicolour

Holographic integral equations and walking technicolour
Holographic integral equations and walking technicolour
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
2470-0029
Alvares, Raul
4c0e7de0-1df9-4693-8a0d-c88fff9d05a9
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Gebauer, Astrid
af8c0217-8357-4388-9746-cf87bd93ace7
Weatherill, George James
5dfdc8b8-63df-42d5-a7c3-c8e8ca8560b5
Alvares, Raul
4c0e7de0-1df9-4693-8a0d-c88fff9d05a9
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Gebauer, Astrid
af8c0217-8357-4388-9746-cf87bd93ace7
Weatherill, George James
5dfdc8b8-63df-42d5-a7c3-c8e8ca8560b5

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).

Record type: Article

Abstract

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

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Published date: 15 January 2009

Identifiers

Local EPrints ID: 141500
URI: https://eprints.soton.ac.uk/id/eprint/141500
ISSN: 2470-0029
PURE UUID: d1f6f9d4-722a-4cdc-9bde-1430bef3a9ec

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Date deposited: 29 Mar 2010 16:08
Last modified: 17 Jul 2019 00:10

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