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We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of…

高能物理 - 理论 · 物理学 2018-04-25 J. A. Gracey , R. M. Simms

We analyse the critical exponents relating to the quark mass anomalous dimension and beta-function at the Banks-Zaks fixed point in Quantum Chromodynamics (QCD) in a variety of representations for the quark in the momentum subtraction (MOM)…

高能物理 - 唯象学 · 物理学 2015-05-13 J. A. Gracey , R. M. Simms

Fixed points in QCD can appear when the number of quark flavors ($N_f$) is increased above a certain critical value as proposed by Banks and Zaks (BZ). There is also the possibility that QCD possess an effective charge indicating an…

高能物理 - 唯象学 · 物理学 2017-02-03 J. D. Gomez , A. A. Natale

The vertex structure of QCD fixed in the maximal abelian gauge (MAG) and Curci-Ferrari gauge is analysed at two loops at the fully symmetric point for the 3-point functions corresponding to the three momentum subtraction (MOM)…

高能物理 - 理论 · 物理学 2016-01-20 J. M. Bell , J. A. Gracey

A physical characterization of Landau singularities is emphasized, which should trace the lower boundary N_f^* of the conformal window in QCD and supersymmetric QCD. A natural way to disentangle ``perturbative'' from ``non-perturbative''…

高能物理 - 唯象学 · 物理学 2016-09-06 Georges Grunberg

We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated…

高能物理 - 唯象学 · 物理学 2023-10-25 R. H. Mason , J. A. Gracey

A physical characterization of Landau singularities is emphasized, which should trace the lower boundary N_f^* of the conformal window in QCD and supersymmetric QCD. A natural way to disentangle ``perturbative'' from ``non-perturbative''…

高能物理 - 唯象学 · 物理学 2009-10-31 Georges Grunberg

In both QCD and supersymmetric QCD (SQCD) with N_f flavors there are conformal windows where the theory is asymptotically free in the ultraviolet while the infrared physics is governed by a non-trivial fixed-point. In SQCD, the lower N_f…

高能物理 - 理论 · 物理学 2010-02-03 Einan Gardi , Georges Grunberg

We construct the six dimensional Quantum Chromodynamics (QCD) Lagrangian in a linear covariant gauge and subsequently renormalize it at two loops in the MSbar scheme. The coupling constant corresponding to the gauge interaction is…

高能物理 - 理论 · 物理学 2016-02-17 J. A. Gracey

Perturbative QCD with nf flavours of massless quarks becomes simple in the hypothetical limit nf -> 16.5, where the leading beta-function coefficient vanishes. The Banks-Zaks (BZ) expansion in a0=(8/321)(16.5-nf) is straightforward to…

高能物理 - 唯象学 · 物理学 2016-08-24 P. M. Stevenson

We renormalize Quantum Chromodynamics (QCD) when gauge fixed in the nonlinear Curci-Ferrari gauge to four loops in the modified minimal subtraction (MSbar) scheme. We reproduce the four loop QCD MSbar beta-function from the Slavnov-Taylor…

高能物理 - 理论 · 物理学 2025-03-10 J. A. Gracey

We study the nature of the two-dimensional quantum critical point separating two phases with and without long-range spin-density-wave order, which has been recently observed in cuprate superconductors. We consider the Landau-Ginzburg-Wilson…

统计力学 · 物理学 2007-05-23 Martino De Prato , Andrea Pelissetto , Ettore Vicari

We consider the Ginzburg-Landau Hamiltonian with a cubic-symmetric quartic interaction and compute the renormalization-group functions to six-loop order in d=3. We analyze the stability of the fixed points using a Borel transformation and a…

统计力学 · 物理学 2009-10-31 J. M. Carmona , A. Pelissetto , E. Vicari

We renormalize the Curci-Ferrari model at two loops in the MSbar scheme in an arbitrary covariant gauge.

高能物理 - 理论 · 物理学 2009-11-07 J. A. Gracey

We analyze the behavior of several renormalization group functions at infrared fixed points for $SU(N)$ gauge theories with fermions in the fundamental and two-indexed representations. This includes the beta function of the gauge coupling,…

高能物理 - 唯象学 · 物理学 2014-03-18 Thomas A. Ryttov

The QCD one-loop renormalization is restudied in a mass-dependent subtraction scheme in which the quark mass is not set to vanish and the renormalization point is chosen to be an arbitrary timelike momentum. The correctness of the…

高能物理 - 理论 · 物理学 2007-05-23 Jun-Chen Su , Lian-You Shan , Ying-Hui Cao

Massive quarks are included in the Curci-Ferrari model and the theory is renormalized at two loops in the MSbar scheme in an arbitrary covariant gauge.

高能物理 - 理论 · 物理学 2009-11-07 R. E. Browne , J. A. Gracey

We prove the existence and we study the stability of the kink-like fixed points in a simple Coupled Map Lattice for which the local dynamics has two stable fixed points. The condition for the existence allows us to define a critical value…

patt-sol · 物理学 2009-10-28 B. Fernandez

The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson…

高能物理 - 格点 · 物理学 2010-01-15 Benjamin Svetitsky , Yigal Shamir , Thomas DeGrand

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of…

高能物理 - 唯象学 · 物理学 2018-01-24 K. G. Chetyrkin , G. Falcioni , F. Herzog , J. A. M. Vermaseren
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