Results 71 to 80 of about 35,501 (212)

Mingling of the infrared and ultraviolet and the “cosmological constant” for interacting QFT in 2d

Journal of High Energy Physics, 2023
We propose a proper definition of the vacuum expectation value of the stress energy tensor 〈0| T μν | 0〉 for integrable quantum field theories in two spacetime dimensions, which is the analog of the cosmological constant in 4d.
André LeClair
doaj   +1 more source

Nonequilibrium dynamics: a renormalized computation scheme

, 1998
We present a regularized and renormalized version of the one-loop nonlinear relaxation equations that determine the non-equilibrium time evolution of a classical (constant) field coupled to its quantum fluctuations.
A. Albrecht, C. G. Callan, Carsten Pätzold, D. Boyanovsky, D. Boyanovsky, D. Boyanovsky, D. Boyanovsky, E. Calzetta, F. Cooper, H. R. Schwarz, J. Baacke, J. Baacke, J. Baacke, J. Baacke, Jürgen Baacke, K. Farakos, K. Farakos, Katrin Heitmann, L. F. Abbott, S. M. Christensen, S. Weinberg, W. Buchmüller, Y. Kluger   +22 more
core   +1 more source

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

General quartic β-function at three loops

Journal of High Energy Physics
We determine the three-loop MS ¯ $$ \overline{\textrm{MS}} $$ quartic β-function for the most general renormalisable four-dimensional theories. A general parametrisation of the β-function is compared to known β-functions for specific theories to fix all ...
Tom Steudtner, Anders Eller Thomsen
doaj   +1 more source

The three-loop anomalous dimension and the four-loop β-function for N $$ \mathcal{N} $$ = 1 SQED regularized by higher derivatives

Journal of High Energy Physics, 2022
For N $$ \mathcal{N} $$ = 1 SQED with N f flavors regularized by higher derivatives in the general ξ-gauge we calculate the three-loop anomalous dimension of the matter superfields defined in terms of the bare coupling constant and demonstrate its gauge ...
I. E. Shirokov, K. V. Stepanyantz
doaj   +1 more source

The Renormalization Group Limit Cycle for the 1/r^2 Potential

, 2004
Previous work has shown that if an attractive 1/r^2 potential is regularized at short distances by a spherical square-well potential, renormalization allows multiple solutions for the depth of the square well.
A. B. Zamolodchikov, A. B. Zamolodchikov, Demian Phillips, Eric Braaten, S. Albeverio, V. Efimov   +5 more
core   +1 more source

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

Regularity properties and pathologies of position-space renormalization-group transformations [PDF]

Nuclear Physics B - Proceedings Supplements, 1991
We reconsider the conceptual foundations of the renormalization-group (RG) formalism, and prove some rigorous theorems on the regularity properties and possible pathologies of the RG map. Regarding regularity, we show that the RG map, defined on a suitable space of interactions (= formal Hamiltonians), is always single-valued and Lipschitz continuous ...
van Enter, Aernout C.D., Fernández, Roberto, Sokal, Alan D.   +2 more
openaire   +4 more sources

Algebraic renormalization of N=2 Super Yang-Mills theories coupled to matter

, 1994
We study the algebraic renormalization of $N=2$ Supersymmetric Yang--Mills theories coupled to matter. A regularization procedure preserving both the BRS invariance and the supersymmetry is not known yet, therefore it is necessary to adopt the algebraic ...
Maggiore, Nicola
core   +2 more sources

Renormalization Group Flows for Brane Couplings [PDF]

, 2001
Field theories in the presence of branes encounter localized divergences that renormalize brane couplings. The sources of these brane-localized divergences are understood as arising either from broken translation invariance, or from short distance ...
B. Allen, D. Deutsch, D. V. Fursaev, D. V. Fursaev, D. V. Fursaev, E. A. Mirabelli, G. Cognola, G. Kennedy, H. Georgi, I. Antoniadis, J. Dowker, L. Randall, Mark B. Wise, N. Arkani-Hamed, N. Arkani-Hamed, R. Sundrum, S. D. Odintsov, S. Deser, S. N. Solodukhin, T. Damour, Walter D. Goldberger   +20 more
core   +2 more sources