Results 51 to 60 of about 1,423 (86)

Applications of the Mellin-Barnes integral representation [PDF]

, 1995
We apply the Mellin-Barnes integral representation to several situations of interest in mathematical-physics. At the purely mathematical level, we derive useful asymptotic expansions of different zeta-functions and partition functions.
Actor A, Actor A, Actor A, Actor A, Actor A, Actor A, Andrews G E, Belavin A, Bender C M, Bernard C W, Bleistein N, Buchbinder I L, Casimir H B G, Copson E T, Critchley R, Denardo G, Dowker J S, Duistermaat J J, E Elizalde, Elizalde E, Elizalde E, Elizalde E, Elizalde E, Elizalde E, Elizalde E, Erdelyi A, Goncharov Y P, Gradshteyn I S, Hawking S W, Hejhal D A, Jorgenson J, K Kirsten, Kapusta J I, Kirsten K, La Veque W J, McLachlan A, McLachlan A, Meinardus G, Meinardus G, Olver F W J, Ray D B, S Zerbini, Seeley R T, Toms D J, Voros A, Wolpert S A   +45 more
core   +2 more sources

On the Resolution of Singularities of Multiple Mellin-Barnes Integrals [PDF]

, 2009
One of the two existing strategies of resolving singularities of multifold Mellin-Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form.
A. V. Smirnov, A.G. Grozin, A.V. Smirnov, A.V. Smirnov, B. Jantzen, C. Anastasiou, C. Anastasiou, C. Anastasiou, E.W.N. Glover, G. Heinrich, G. Heinrich, G. Somogyi, I. Bierenbaum, J. Gluza, J.B. Tausk, J.M. Drummond, M. Czakon, M. Czakon, M. Czakon, M. Czakon, M. Czakon, M.B. Green, R.J. Gonsalves, S. Moch, T. Becher, T. Gehrmann, T. Gehrmann, V. A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, V.A. Smirnov, Z. Bern, Z. Bern, Z. Bern   +40 more
core   +1 more source

Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory

, 2011
We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels.
A Agarwal, A Brandhuber, A Kapustin, AA Tseytlin, AV Belitsky, B Chen, B Stefanski Jr, D Bak, D Gaiotto, E Guadagnini, E Witten, G Arutyunov, G Arutyunov, I Adam, I Bena, J Gomis, J Plefka, JA Minahan, JA Minahan, JA Minahan, Jan Plefka, JM Drummond, JM Drummond, JM Drummond, JM Drummond, JM Drummond, JM Henn, Johannes M. Henn, K Zarembo, Konstantin Wiegandt, LF Alday, LF Alday, M Alvarez, M Czakon, M Mariño, N Beisert, N Beisert, N Beisert, N Beisert, N Beisert, N Berkovits, N Drukker, N Drukker, N Gromov, O Aharony, PA Grassi, S Sarkar, S-J Rey, V Smirnov, VM Braun, W Chen   +50 more
core   +1 more source

Numerical evaluation of loop integrals

, 2005
We present a new method for the numerical evaluation of arbitrary loop integrals in dimensional regularization. We first derive Mellin-Barnes integral representations and apply an algorithmic technique, based on the Cauchy theorem, to extract the ...
A.V. Smirnov, Alejandro Daleo, C. Anastasiou, C. Anastasiou, Charalampos Anastasiou, E.E. Boos, F. del Aguila, J.A.M. Vermaseren, N.I. Ussyukina, O.V. Tarasov, S. Laporta, T. Binoth, Vladimir A. Smirnov, W.T. Giele, Z. Nagy   +14 more
core   +1 more source

SO_0(1,d+1) Racah coefficients: Type I representations

, 2006
We use AdS/CFT inspired methods to study the Racah coefficients for type I representations of the Lorentz group SO_0(1,d+1) with d>1. For such representations (a multiple of) the Racah coefficient can be represented as an integral of a product of 6 bulk ...
Abramowitz M., Dobrev V. K., Green M. B., Jorma Louko, Kirill Krasnov, Vilenkin N. Ja., Vilenkin N. Ja.   +6 more
core   +2 more sources

Mellin-Barnes Representation of the Topological String

, 2015
We invoke integrals of Mellin-Barnes type to analytically continue the Gopakumar-Vafa resummation of the topological string free energy in the string coupling constant, leading to additional non-perturbative terms. We also discuss in a similar manner the
Krefl, Daniel
core   +1 more source

The Fokker-Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm. [PDF]

R Soc Open Sci, 2022
Runfola C, Vitali S, Pagnini G.
europepmc   +1 more source

Bootstrapping pentagon functions

, 2018
In PRL 116 (2016) no.6, 062001, the space of planar pentagon functions that describes all two-loop on-shell five-particle scattering amplitudes was introduced.
Chicherin, Dmitry, Henn, Johannes, Mitev, Vladimir   +2 more
core   +1 more source

Evaluating multiloop Feynman integrals by Mellin-Barnes representation

, 2004
The status of analytical evaluation of double and triple box diagrams is characterized. The method of Mellin-Barnes representation as a tool to evaluate master integrals in these problems is advocated.
't Hooft, Actis, Aglietti, Aglietti, Aglietti, Anastasiou, Anastasiou, Anastasiou, Anastasiou, Anastasiou, Baikov, Beneke, Bern, Bern, Bern, Bern, Bern, Binoth, Bollini, Bonciani, Bonciani, Chetyrkin, Czakon, Gehrmann, Gehrmann, Gehrmann, Gehrmann, Glover, Glover, Glover, Heinrich, Kotikov, Laporta, Mastrolia, Passarino, Remiddi, Remiddi, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Smirnov, Tarasov, Tarasov, Tausk, V.A. Smirnov   +51 more
core   +2 more sources

Half-Space Stationary Kardar-Parisi-Zhang Equation. [PDF]

J Stat Phys, 2020
Barraquand G, Krajenbrink A, Le Doussal P.   +2 more
europepmc   +1 more source