Perturbative renormalization for overlap fermions

Capitani, Stefano

doi:10.1016/s0920-5632(01)01856-4

Cited by 5 publications

(3 citation statements)

References 14 publications

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“…Regarding analytical computations, the only ones performed thus far have been either up to 1 loop, such as Refs. [13][14][15][16][17][18][19], or vacuum diagrams at higher loops [20,21]. The present work is the first one involving non-vacuum diagrams beyond the 1-loop level.…”

Section: Introductionmentioning

confidence: 99%

QCD with overlap fermions: Running coupling and the 3-loop beta-function

Constantinou,

Panagopoulos

2007

Preprint

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We calculate the relation between the bare coupling constant g 0 and the MSrenormalized coupling g MS , g 0 = Z g (g 0 , aµ)g MS , to 2 loops in perturbation theory. We employ the standard Wilson action for gluons and the overlap action for fermions. For convenience, we have worked with the background field technique, which only requires evaluation of 2-point Green's function for the problem at hand. Our results depend explicitly on the number of fermion flavors (N f ) and colors (N ). Since the dependence of Z g on the overlap parameter ρ cannot be extracted analytically, we tabulate our results for different values in the allowed range of ρ (0 < ρ < 2), focusing on values which are being used most frequently in simulations. Knowledge of Z g allows us to derive the 3-loop coefficient of the bare β-function (β L (g 0 )) which, unlike the 1-and 2-loop coefficients, is regularization-dependent. The nontrivial dependence of Z g and of β L (g 0 ) on ρ is plotted for various choices of N , N f .

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Section: Introductionmentioning

confidence: 99%

QCD with overlap fermions: Running coupling and the 3-loop beta-function

Constantinou,

Panagopoulos

2007

Preprint

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“…Several authors have published calculations of lattice-to-continuum matching factors for a variety of processes for the overlap action with the thin link Wilson action as its kernel (for a partial list, see [7][8][9][10][11]). Perturbative calculations for more complicated actions is in principle not much more difficult to do, once the Feynman rules are constructed.…”

Section: Introductionmentioning

confidence: 99%

One loop matching coefficients for a variant overlap action and some of its simpler relatives

DeGrand

2003

Phys. Rev. D

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I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recentlyproposed variant discretization of the overlap. These fermions have extended ("fat link") gauge connections. The scale for evaluation of the running coupling constant (in the context of the LepageMackenzie fixing scheme) is also given. A variety of results (for additive mass renormalization, local currents, and some non-penguin four-fermion operators) for naive, Wilson, clover, and overlap actions are shown.

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“…Regarding analytical computations, the only ones performed thus far have been either up to 1 loop, such as Refs. [22][23][24][25][26][27][28], or vacuum diagrams at higher loops [29,30]. The present work (along with Ref.…”

Section: Introductionmentioning

confidence: 90%

Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loopβ-function

Constantinou

Panagopoulos

2008

Phys. Rev. D

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This work presents the calculation of the relation between the bare coupling constant g 0 and the MS-renormalized coupling g MS , g 0 = Z g (g 0 , aµ)g MS , to 2 loops in perturbation theory, with fermions in an arbitrary representation of the gauge group SU (N ). Our calculation is performed using overlap fermions and Wilson gluons, and the background field technique has been chosen for convenience. The corresponding results in the fundamental representation appear in our longer publication [1].The 3-loop coefficient of the bare β-function, b L 2 , is extracted using the 2-loop expression for Z g , and it is presented as a function of the overlap parameter ρ, the number of fermion flavors (N f ) and the number of colors (N ). We also provide the expression for the ratio Λ L /Λ MS , in an arbitrary representation. A plot of Λ L /Λ MS is given in the adjoint representation.

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Perturbative renormalization for overlap fermions

Cited by 5 publications

References 14 publications

QCD with overlap fermions: Running coupling and the 3-loop beta-function

QCD with overlap fermions: Running coupling and the 3-loop beta-function

One loop matching coefficients for a variant overlap action and some of its simpler relatives

Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loopβ-function

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