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In this review we study quantum field theories and conformal field theories with global symmetries in the limit of large charge for some of the generators of the symmetry group. At low energy the sectors of the theory with large charge are…

高能物理 - 理论 · 物理学 2021-10-27 Luis Álvarez Gaumé , Domenico Orlando , Susanne Reffert

We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that…

高能物理 - 理论 · 物理学 2010-12-03 Gaetano Bertoldi , Timothy J. Hollowood , J. Luis Miramontes

We obtain the disorder averaged (critical) four-point correlation functions for N species of (two-dimensional Euclidean) Dirac fermions subject to a (Gaussian) random su(N) gauge field. The replica approach and the strong disorder approach…

凝聚态物理 · 物理学 2007-05-23 M. J. Bhaseen

The axion is one of the more interesting candidates to make the dark matter of the universe, and the axion potential plays a fundamental role in the determination of the dynamics of the axion field. Moreover, the way in which the $U(1)_A$…

高能物理 - 格点 · 物理学 2018-04-18 Vicente Azcoiti

The leading order of the large N limit of the O(N) symmetric phi-six theory in three dimensions has a phase which exhibits spontaneous breaking of scale symmetry accompanied by a massless dilaton which is a Goldstone boson. At the…

高能物理 - 理论 · 物理学 2016-12-28 Hamid Omid , Gordon W. Semenoff , L. C. R. Wijewardhana

Equivalence of partition functions for U(1) gauge theory and its dual in appropriate phase spaces is established in terms of constrained hamiltonian formalism of their parent action. Relations between the electric--magnetic duality…

高能物理 - 理论 · 物理学 2008-11-26 O. F. Dayi , B. Yapiskan

The effective QCD charge extracted from $\tau$ decay is remarkably constant at small momenta, implying the near-conformal behavior of hadronic interactions at small momentum transfer. The correspondence of large-$N_C$ supergravity theory in…

高能物理 - 唯象学 · 物理学 2009-09-11 S. J. Brodsky

This paper investigates the coupling of massive fermions to gravity within the context of a non-Abelian gauge theory, utilizing the effective field theory framework for quantum gravity. Specifically, we calculate the two-loop beta function…

高能物理 - 理论 · 物理学 2025-06-19 M. Gomes , A. C. Lehum , A. J. da Silva

Using supersymmetric localization, we study the sector of chiral primary operators $({\rm Tr} \, \phi^2 )^n$ with large $R$-charge $4n$ in $\mathcal{N}=2$ four-dimensional superconformal theories in the weak coupling regime $g\rightarrow…

高能物理 - 理论 · 物理学 2018-06-13 Antoine Bourget , Diego Rodriguez-Gomez , Jorge G. Russo

Work in progress is reported on a particularly interesting gauge theory with a fermion doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group. Extending previous studies we outline our strategy as we…

高能物理 - 格点 · 物理学 2015-03-12 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to $N_f$ fermions in the limit of large $N_f$ using conformal truncation, i.e. with a truncated space of states corresponding to primary operators…

高能物理 - 理论 · 物理学 2019-05-01 Luca V. Delacrétaz , A. Liam Fitzpatrick , Emanuel Katz , Lorenzo Vitale

We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct…

高能物理 - 唯象学 · 物理学 2020-03-11 Byung Su Kim , Deog Ki Hong , Jong-Wan Lee

We modify a kinetic theory of massless fermions to incorporate the effects of the conformal anomaly. Working in a collisionless regime, we emulate the conformal anomaly via a momentum-dependent electric coupling. In this prescription, the…

高能物理 - 理论 · 物理学 2021-03-03 M. N. Chernodub , Eda Kilinçarslan

We study four-dimensional gauge theories coupled to fermions in the fundamental and meson-like scalars. All requisite beta functions are provided for general gauge group and fermion representation. In the regime where asymptotic freedom is…

高能物理 - 理论 · 物理学 2021-11-17 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez

In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential…

高能物理 - 理论 · 物理学 2015-06-25 Juan Jose Manjarin

The large-charge master field which generates all n-point correlation functions with an insertion of large charge Q in non-relativistic conformal field theory is obtained. This field is used to compute Schr\"odinger-invariant n-point…

高能物理 - 理论 · 物理学 2024-07-19 Silas R. Beane , Domenico Orlando , Susanne Reffert

A genuine dilaton $\sigma$ allows scales to exist even in the limit of exact conformal invariance. In gauge theories, these may occur at an infrared fixed point (IRFP) $\alpha_{\text{IR}}$ through dimensional transmutation. These large…

高能物理 - 唯象学 · 物理学 2020-07-14 R. J. Crewther

In the model based on SUSY SU(5) combined with the T' family symmetry, it is shown in Phys. Lett. B 652, 34 (2007) and Phys. Lett. B 681, 444 (2009) that fermion mass hierarchy and mixing angles can be naturally generated in both lepton and…

高能物理 - 唯象学 · 物理学 2015-06-16 Mu-Chun Chen , Jinrui Huang , K. T. Mahanthappa , Alexander M. Wijangco

We study some (conformal) field theories with global symmetries in the sector where the value of the global charge $Q$ is large. We find (as expected) that the low energy excitations of this sector are described by the general form of…

高能物理 - 理论 · 物理学 2017-05-24 Luis Alvarez-Gaume , Orestis Loukas , Domenico Orlando , Susanne Reffert

It has been recently proposed to embed the standard model in a conformal gauge theory to resolve the hierarchy problem, and to avoid assuming either grand unification or low-energy supersymmetry. By model building based on string-field…

高能物理 - 理论 · 物理学 2009-10-31 Paul H. Frampton