Instantons in asymptotically safe and free quantum field theories

Francesco Sannino*, Vedran Skrinjar

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Resumé

We investigate the instanton dynamics of asymptotically safe and free quantum field theories featuring, respectively, controllable ultraviolet and infrared fixed points. We start by briefly reviewing the salient points about the instanton calculus for pure Yang-Mills (YM) and QCD theory. We then move on to determine the role of instantons within the controllable regime of the QCD conformal window. In this region we add a fermion-mass operator and determine the density of instantons per unit volume as a function of the fermion mass. Finally, for the first time, we extend the instanton calculus to asymptotically safe theories.

OriginalsprogEngelsk
Artikelnummer085010
TidsskriftPhysical Review D
Vol/bind99
Udgave nummer8
Antal sider15
ISSN2470-0010
DOI
StatusUdgivet - 15. apr. 2019

Fingeraftryk

instantons
calculus
quantum chromodynamics
fermions
reviewing
operators

Citer dette

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Instantons in asymptotically safe and free quantum field theories. / Sannino, Francesco; Skrinjar, Vedran.

I: Physical Review D, Bind 99, Nr. 8, 085010, 15.04.2019.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Instantons in asymptotically safe and free quantum field theories

AU - Sannino, Francesco

AU - Skrinjar, Vedran

PY - 2019/4/15

Y1 - 2019/4/15

N2 - We investigate the instanton dynamics of asymptotically safe and free quantum field theories featuring, respectively, controllable ultraviolet and infrared fixed points. We start by briefly reviewing the salient points about the instanton calculus for pure Yang-Mills (YM) and QCD theory. We then move on to determine the role of instantons within the controllable regime of the QCD conformal window. In this region we add a fermion-mass operator and determine the density of instantons per unit volume as a function of the fermion mass. Finally, for the first time, we extend the instanton calculus to asymptotically safe theories.

AB - We investigate the instanton dynamics of asymptotically safe and free quantum field theories featuring, respectively, controllable ultraviolet and infrared fixed points. We start by briefly reviewing the salient points about the instanton calculus for pure Yang-Mills (YM) and QCD theory. We then move on to determine the role of instantons within the controllable regime of the QCD conformal window. In this region we add a fermion-mass operator and determine the density of instantons per unit volume as a function of the fermion mass. Finally, for the first time, we extend the instanton calculus to asymptotically safe theories.

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M3 - Journal article

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JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

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