The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity

Though not a part of mainstream physics, Salam’s theory of strong gravity remains a viable effective model for the description of strong interactions in the gauge singlet sector of QCD, capable of producing particle confinement and asymptotic freedom, but not of reproducing interactions involving SU...

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Main Authors: Burikham, Piyabut, Harko, Tiberiu, Lake, Matthew James
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2019
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Online Access:https://hdl.handle.net/10356/106343
http://hdl.handle.net/10220/49603
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1063432023-02-28T19:50:06Z The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity Burikham, Piyabut Harko, Tiberiu Lake, Matthew James School of Physical and Mathematical Sciences Strong Gravity Science::Physics Mass Bounds Though not a part of mainstream physics, Salam’s theory of strong gravity remains a viable effective model for the description of strong interactions in the gauge singlet sector of QCD, capable of producing particle confinement and asymptotic freedom, but not of reproducing interactions involving SU(3) color charge. It may therefore be used to explore the stability and confinement of gauge singlet hadrons, though not to describe scattering processes that require color interactions. It is a two-tensor theory of both strong interactions and gravity, in which the strong tensor field is governed by equations formally identical to the Einstein equations, apart from the coupling parameter, which is of order 1 GeV−1 . We revisit the strong gravity theory and investigate the strong gravity field equations in the presence of a mixing term which induces an effective strong cosmological constant, Λf . This introduces a strong de Sitter radius for strongly interacting fermions, producing a confining bubble, which allows us to identify Λf with the ‘bag constant’ of the MIT bag model, B≃2×1014 g cm−3 . Assuming a static, spherically symmetric geometry, we derive the strong gravity TOV equation, which describes the equilibrium properties of compact hadronic objects. From this, we determine the generalized Buchdahl inequalities for a strong gravity ‘particle’, giving rise to upper and lower bounds on the mass/radius ratio of stable, compact, strongly interacting objects. We show, explicitly, that the existence of the lower mass bound is induced by the presence of Λf , producing a mass gap, and that the upper bound corresponds to a deconfinement phase transition. The physical implications of our results for holographic duality in the context of the AdS/QCD and dS/QCD correspondences are also discussed. Published version 2019-08-13T04:39:28Z 2019-12-06T22:09:28Z 2019-08-13T04:39:28Z 2019-12-06T22:09:28Z 2017 Journal Article Burikham, P., Harko, T., & Lake, M. J. (2017). The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity. European Physical Journal C, 77(11), 803-. doi:10.1140/epjc/s10052-017-5381-9 1434-6044 https://hdl.handle.net/10356/106343 http://hdl.handle.net/10220/49603 10.1140/epjc/s10052-017-5381-9 en European Physical Journal C © 2017 The Author(s). Published by Springer Berlin Heidelberg. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 24 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Strong Gravity
Science::Physics
Mass Bounds
spellingShingle Strong Gravity
Science::Physics
Mass Bounds
Burikham, Piyabut
Harko, Tiberiu
Lake, Matthew James
The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
description Though not a part of mainstream physics, Salam’s theory of strong gravity remains a viable effective model for the description of strong interactions in the gauge singlet sector of QCD, capable of producing particle confinement and asymptotic freedom, but not of reproducing interactions involving SU(3) color charge. It may therefore be used to explore the stability and confinement of gauge singlet hadrons, though not to describe scattering processes that require color interactions. It is a two-tensor theory of both strong interactions and gravity, in which the strong tensor field is governed by equations formally identical to the Einstein equations, apart from the coupling parameter, which is of order 1 GeV−1 . We revisit the strong gravity theory and investigate the strong gravity field equations in the presence of a mixing term which induces an effective strong cosmological constant, Λf . This introduces a strong de Sitter radius for strongly interacting fermions, producing a confining bubble, which allows us to identify Λf with the ‘bag constant’ of the MIT bag model, B≃2×1014 g cm−3 . Assuming a static, spherically symmetric geometry, we derive the strong gravity TOV equation, which describes the equilibrium properties of compact hadronic objects. From this, we determine the generalized Buchdahl inequalities for a strong gravity ‘particle’, giving rise to upper and lower bounds on the mass/radius ratio of stable, compact, strongly interacting objects. We show, explicitly, that the existence of the lower mass bound is induced by the presence of Λf , producing a mass gap, and that the upper bound corresponds to a deconfinement phase transition. The physical implications of our results for holographic duality in the context of the AdS/QCD and dS/QCD correspondences are also discussed.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Burikham, Piyabut
Harko, Tiberiu
Lake, Matthew James
format Article
author Burikham, Piyabut
Harko, Tiberiu
Lake, Matthew James
author_sort Burikham, Piyabut
title The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
title_short The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
title_full The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
title_fullStr The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
title_full_unstemmed The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
title_sort qcd mass gap and quark deconfinement scales as mass bounds in strong gravity
publishDate 2019
url https://hdl.handle.net/10356/106343
http://hdl.handle.net/10220/49603
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