Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows
Abstract We study the q q ¯ $$ q\overline{q} $$ potential in strongly coupled non-conformal field theories with a non-trivial renormalization group flow via holography. We focus on the properties of this potential at an inter-quark separation L large compared to the characteristic scale of the field...
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Online Access: | http://link.springer.com/article/10.1007/JHEP04(2019)134 |
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doaj-28e6687ad6b84309b0f8027eefe12ae92020-11-25T03:03:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-04-012019413510.1007/JHEP04(2019)134Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flowsJorge Casalderrey-Solana0Diego Gutiez1Carlos Hoyos2Departament de Física Quàntica i Astrofísica & Institut de Ciències del Cosmos (ICC), Universitat de BarcelonaDepartment of Physics, Universidad de OviedoDepartment of Physics, Universidad de OviedoAbstract We study the q q ¯ $$ q\overline{q} $$ potential in strongly coupled non-conformal field theories with a non-trivial renormalization group flow via holography. We focus on the properties of this potential at an inter-quark separation L large compared to the characteristic scale of the field theory. These are determined by the leading order IR physics plus a series of corrections, sensitive to the properties of the RG-flow. To determine those corrections, we propose a general method applying holographic Wilsonian renormalization to a dual string. We apply this method to examine in detail two sets of examples, 3 + 1-dimensional theories with an RG flow ending in an IR fixed point; and theories that are confining in the IR, in particular, the Witten QCD and Klebanov-Strassler models. In both cases, we find corrections with a universal dependence on the inter-quark separation. When there is an IR fixed point, that correction decays as a power ∼ 1/L 4. We explain that dependence in terms of a double-trace deformation in a one-dimensional defect theory. For a confining theory, the decay is exponential ∼ e −M L , with M a scale of the order of the glueball mass. We interpret this correction using an effective flux tube description as produced by a background internal mode excitation induced by sources localized at the endpoints of the flux tube. We discuss how these results could be confronted with lattice QCD data to test whether the description of confinement via the gauge/gravity is qualitatively correct.http://link.springer.com/article/10.1007/JHEP04(2019)134Gauge-gravity correspondenceWilson, ’t Hooft and Polyakov loopsEffective Field Theories |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jorge Casalderrey-Solana Diego Gutiez Carlos Hoyos |
spellingShingle |
Jorge Casalderrey-Solana Diego Gutiez Carlos Hoyos Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows Journal of High Energy Physics Gauge-gravity correspondence Wilson, ’t Hooft and Polyakov loops Effective Field Theories |
author_facet |
Jorge Casalderrey-Solana Diego Gutiez Carlos Hoyos |
author_sort |
Jorge Casalderrey-Solana |
title |
Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows |
title_short |
Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows |
title_full |
Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows |
title_fullStr |
Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows |
title_full_unstemmed |
Effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic RG flows |
title_sort |
effective long distance q q ¯ $$ q\overline{q} $$ potential in holographic rg flows |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-04-01 |
description |
Abstract We study the q q ¯ $$ q\overline{q} $$ potential in strongly coupled non-conformal field theories with a non-trivial renormalization group flow via holography. We focus on the properties of this potential at an inter-quark separation L large compared to the characteristic scale of the field theory. These are determined by the leading order IR physics plus a series of corrections, sensitive to the properties of the RG-flow. To determine those corrections, we propose a general method applying holographic Wilsonian renormalization to a dual string. We apply this method to examine in detail two sets of examples, 3 + 1-dimensional theories with an RG flow ending in an IR fixed point; and theories that are confining in the IR, in particular, the Witten QCD and Klebanov-Strassler models. In both cases, we find corrections with a universal dependence on the inter-quark separation. When there is an IR fixed point, that correction decays as a power ∼ 1/L 4. We explain that dependence in terms of a double-trace deformation in a one-dimensional defect theory. For a confining theory, the decay is exponential ∼ e −M L , with M a scale of the order of the glueball mass. We interpret this correction using an effective flux tube description as produced by a background internal mode excitation induced by sources localized at the endpoints of the flux tube. We discuss how these results could be confronted with lattice QCD data to test whether the description of confinement via the gauge/gravity is qualitatively correct. |
topic |
Gauge-gravity correspondence Wilson, ’t Hooft and Polyakov loops Effective Field Theories |
url |
http://link.springer.com/article/10.1007/JHEP04(2019)134 |
work_keys_str_mv |
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