Conformal Phase Diagram of Complete Asymptotically Free Theories

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Resumé

We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be completely asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.
OriginalsprogEngelsk
Artikelnummer074015
TidsskriftPhysical Review D
Vol/bind96
Udgave nummer7
Antal sider14
ISSN2470-0010
DOI
StatusUdgivet - 2017

Fingeraftryk

phase diagrams
scalars
trajectories
coefficients

Citer dette

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title = "Conformal Phase Diagram of Complete Asymptotically Free Theories",
abstract = "We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self-coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function, and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be complete asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.",
keywords = "hep-th, hep-lat, hep-ph",
author = "Claudio Pica and Ryttov, {Thomas A.} and Francesco Sannino",
year = "2017",
doi = "10.1103/PhysRevD.96.074015",
language = "English",
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journal = "Physical Review D",
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Conformal Phase Diagram of Complete Asymptotically Free Theories. / Pica, Claudio; Ryttov, Thomas A.; Sannino, Francesco.

I: Physical Review D, Bind 96, Nr. 7, 074015, 2017.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Conformal Phase Diagram of Complete Asymptotically Free Theories

AU - Pica, Claudio

AU - Ryttov, Thomas A.

AU - Sannino, Francesco

PY - 2017

Y1 - 2017

N2 - We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self-coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function, and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be complete asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.

AB - We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self-coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function, and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be complete asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.

KW - hep-th

KW - hep-lat

KW - hep-ph

U2 - 10.1103/PhysRevD.96.074015

DO - 10.1103/PhysRevD.96.074015

M3 - Journal article

VL - 96

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 7

M1 - 074015

ER -