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Conformal windows beyond asymptotic freedom

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posted on 2023-06-10, 01:38 authored by Andrew D Bond, Daniel LitimDaniel Litim, Gustavo Medina Vazquez
We study four-dimensional gauge theories coupled to fermions in the fundamental and mesonlike scalars. All requisite beta functions are provided for general gauge group and fermion representation. In the regime where asymptotic freedom is absent, we determine all interacting fixed points using perturbation theory up to three loop in the gauge and two loop in the Yukawa and quartic couplings. We find that the conformal window of ultraviolet fixed points is narrowed down by finite-N corrections beyond the Veneziano limit. We also find a new infrared fixed point whose main features, such as scaling exponents, UV-IR connecting trajectories, and phase diagram, are provided. Both fixed points collide upon varying the number of fermion flavors Nf, and conformality is lost through a saddle-node bifurcation. We further revisit the prospect for ultraviolet fixed points in the large-Nf limit where matter field fluctuations dominate. Unlike at weak coupling, we do not find clear evidence for new scaling solutions even in the presence of scalar and Yukawa couplings.

Funding

South-Eastern Particle Theory Alliance Sussex - RHUL - UCL 2017-2020 - Sussex node; G2074; STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCIL; ST/P000819/1

South-Eastern Particle Theory Alliance Sussex - RHUL - UCL 2020-2023 - Sussex node; G2836; STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCIL; ST/T00102X/1

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

2470-0010

Publisher

American Physical Society

Issue

10

Volume

104

Page range

1-20

Article number

a105002

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2021-11-04

First Open Access (FOA) Date

2021-11-04

First Compliant Deposit (FCD) Date

2021-11-03

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