Results 31 to 40 of about 35,463 (213)

The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation

Physics Letters B, 2017
At the three-loop level we analyze, how the NSVZ relation appears for N=1 SQED regularized by the dimensional reduction. This is done by the method analogous to the one which was earlier used for the theories regularized by higher derivatives. Within the
S.S. Aleshin, I.O. Goriachuk, A.L. Kataev, K.V. Stepanyantz   +3 more
doaj   +1 more source

Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories

Physics Letters B, 2015
We formulate the higher covariant derivative regularization for N=2 supersymmetric gauge theories in N=2 harmonic superspace. This regularization is constructed by adding the N=2 supersymmetric higher derivative term to the classical action and inserting
I.L. Buchbinder, N.G. Pletnev, K.V. Stepanyantz   +2 more
doaj   +1 more source

Reduction with degenerate Gram matrix for one-loop integrals

Journal of High Energy Physics, 2022
An improved PV-reduction (Passarino-Veltman) method for one-loop integrals with auxiliary vector R has been proposed in [1, 2]. It has also been shown that the new method is a self-completed method in [3].
Bo Feng, Chang Hu, Tingfei Li, Yuekai Song   +3 more
doaj   +1 more source

Nontrivial one-loop recursive reduction relation

Journal of High Energy Physics, 2023
In [1], we proposed a universal method to reduce one-loop integrals with both tensor structure and higher-power propagators. But the method is quite redundant as it does not utilize the results of lower rank cases when addressing certain tensor integrals.
Tingfei Li
doaj   +1 more source

SYMMETRY-PRESERVING LOOP REGULARIZATION AND RENORMALIZATION OF QFTs [PDF]

Modern Physics Letters A, 2004
A new symmetry-preserving loop regularization method proposed in Ref. 1 is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of irreducible loop integrals.
openaire   +3 more sources

New Regularization in Extra Dimensional Model and Renormalization Group Flow of the Cosmological Constant

, 2010
Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}.
Ichinose, Shoichi
core   +1 more source

Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes [PDF]

, 1997
We study the tubular phase of self-avoiding anisotropic membranes. We discuss the renormalizability of the model Hamiltonian describing this phase and derive from a renormalization group equation some general scaling relations for the exponents of the ...
B. Duplantier, D. R. Nelson, E. Guitter, E. Guitter, F. David, F. David, F. David, G. Grest, J. A. Aronovitz, L. Radzihovsky, M. Bowick, M. Bowick, M. Kardar, M. Paczuski, Y. Kantor, Y. Kantor   +15 more
core   +4 more sources

Four loop wave function renormalization in the non-abelian Thirring model [PDF]

, 2001
We compute the anomalous dimension of the fermion field with N_f flavours in the fundamental representation of a general Lie colour group in the non-abelian Thirring model at four loops.
't Hooft, Avdeev, Bennett, Bennett, Blatter, Bondi, Bondi, Bos, Bos, Broadhurst, Broadhurst, Chetyrkin, Chetyrkin, Ciuchini, Collins, Curci, Cvitanovic, d'Eramo, D.B. Ali, Dashen, Dashen, Derkachov, Destri, Destri, Gerganov, Gomes, Gracey, Gracey, Gracey, Gracey, Gracey, Gross, Hagen, Hagen, Hasenfratz, Hearn, Hikami, J.A. Gracey, Kazakov, Kazakov, Kennedy, Kivel, Knizhnik, Kodaira, Kutasov, Larin, Luperini, Mueller, Taguchi, Trueman, van Ritbergen, van Ritbergen, Vasil'ev, Vasil'ev, Vasil'ev, Vasil'ev, Vasil'ev, Vasil'ev, Vermaseren, Vermaseren, Weinberg, Wetzel, Witten, Xi, Xi   +64 more
core   +2 more sources

Exact Schwinger Proper Time Renormalisation

Journal of High Energy Physics
We derive an exact version of the Schwinger Proper Time Renormalisation Group flow equation from first principles from the complete path integral, without using any perturbative expansion.
Steven Abel, Lucien Heurtier
doaj   +1 more source

Regularization Dependence of Running Couplings in Softly Broken Supersymmetry

, 2008
We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional regularization does not ...
't Hooft, Antoniadis, Barbieri, Bardeen, Capper, Chamseddine, Haber, Hall, Ibáñez, Jack, Jack, Jones, Jones, Machacek, Machacek, Martin, Michael T. Vaughn, Nath, Nath, Nath, Nilles, Nilles, Ramond, Ross, Schuler, Siegel, Stephen P. Martin, van Damme, Yamada   +28 more
core   +1 more source