Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Kalmykov, M."'
The question about the appearance of time in the semiclassical limit of quantum gravity continues to be discussed in the literature. It is believed that a temporal Schrodinger equation for matter fields on the background of a classical gravitational
Externí odkaz:
http://arxiv.org/abs/2307.12102
Higher-order diagrams required for radiative corrections to mixed electroweak and QCD processes at the LHC and anticipated future colliders will require numerically stable representations of the associated Feynman diagrams. The hypergeometric represe
Externí odkaz:
http://arxiv.org/abs/1110.0210
Publikováno v:
PoS ICHEP2010:135,2010
Stable reduction methods will be important in the evaluation of high-order perturbative diagrams appearing in QCD and mixed QCD-electroweak radiative corrections at the LHC. Differential reduction techniques are useful for relating hypergeometric fun
Externí odkaz:
http://arxiv.org/abs/1101.2348
We describe the application of differential reduction algorithms for Feynman Diagram calculation. We illustrate the procedure in the context of generalized hypergeometric functions, and give an example for a type of q-loop bubble diagram.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/0902.1352
Publikováno v:
PoS ACAT08:125,2008
We will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a Horn-type multivariable hypergeometric function. The advantages and disadvantages of this type of approach to the evaluation of Feynman diagr
Externí odkaz:
http://arxiv.org/abs/0901.4716
We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a collection of physically important one-loop vertex diagrams for which t
Externí odkaz:
http://arxiv.org/abs/0810.3238
Hypergeometric functions provide a useful representation of Feynman diagrams occuring in precision phenomenology. In dimension regularization, the epsilon-expansion of these functions about d=4 is required. We discuss the current status of differenti
Externí odkaz:
http://arxiv.org/abs/0808.2605
Publikováno v:
JHEP 0711:009,2007
We continue our study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we apply the approach of obtaining iteratated solutions to the differ
Externí odkaz:
http://arxiv.org/abs/0708.0803
Publikováno v:
JHEP 0710:048,2007
We continue the study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams. In this paper, we show the following results: Theorem A: The multiple (inverse) bino
Externí odkaz:
http://arxiv.org/abs/0707.3654
Publikováno v:
JHEP 0702:040,2007
It is proved that the Laurent expansion of the following Gauss hypergeometric functions, 2F1(I1+a*epsilon, I2+b*ep; I3+c*epsilon;z), 2F1(I1+a*epsilon, I2+b*epsilon;I3+1/2+c*epsilon;z), 2F1(I1+1/2+a*epsilon, I2+b*epsilon; I3+c*epsilon;z), 2F1(I1+1/2+a
Externí odkaz:
http://arxiv.org/abs/hep-th/0612240