Results 1 to 10 of about 685,010 (143)

A method for getting a finite $\alpha$ in the IR region from an all-order beta function

, 2017
The analytical method of QCD running coupling constant is extended to a model with an all-order beta function which is inspired by the famous Novikov-Shifman-Vai\-n\-s\-htein-Zakharov beta function of N=1 supersymmetric gau\-g\-e theories.
Zheng, Zhi-Yuan, Zhou, Gao-Liang
core   +1 more source

On Extended Beta Function and Related Inequalities

Mathematics
In this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function. Here, we consider the most general case of the four-parameter Macdonald function Kν+12pt−λ+q(1−t)−μ when λ≠μ ...
Rakesh K. Parmar, Tibor K. Pogány, Ljiljana Teofanov   +2 more
openaire   +3 more sources

Relating Physical Observables in QCD without Scale-Scheme Ambiguity

, 1992
We discuss the St\"uckelberg-Peterman extended renormalization group equations in perturbative QCD, which express the invariance of physical observables under renormalization-scale and scheme-parameter transformations.
A. Dhar, A. Dhar, A. Dhar, A. Peterman, C. J. Maxwell, E. C. G. Stückelberg, G. 't Hooft, G. B. West, G. B. West, G. Grunberg, G. Grunberg, G. Grunberg, G. Grunberg, Hung Jung Lu, J. Chýla, J. Chýla, J. Chýla, K. Hikasa, L. R. Surguladze, L. R. Surguladze, L. S. Brown, M. Haruyama, M. Z. Akrawy, O. V. Tarasov, P. M. Stevenson, P. M. Stevenson, P. M. Stevenson, P. M. Stevenson, P. M. Stevenson, R. Marshall, S. A. Larin, S. A. Larin, S. A. Larin, S. G. Gorishny, S. J. Brodsky, Stanley J. Brodsky, V. Branchina, V. Gupta   +37 more
core   +2 more sources

The Partition Function of Multicomponent Log-Gases

, 2011
We give an expression for the partition function of a one-dimensional log-gas comprised of particles of (possibly) different integer charge at inverse temperature {\beta} = 1 (restricted to the line in the presence of a neutralizing field) in terms of ...
Berezin F A, Boussicault A, Christopher D Sinclair, de Bruijn N G, Forrester P, Forrester P J, Halperin B I, Jokela N, Jokela N, Luque J-G, Luque J-G, Mehta M L, Meray C, Rains E M, Rider B, Selberg A, Sinclair C D, Sinclair C D   +17 more
core   +1 more source

Nicotinamide riboside functions during development while beta-hydroxybutyrate functions during adulthood to extend C. elegans lifespan

microPublication biology, 2023
Nicotinamide riboside (NR), a form of vitamin B3 and a nicotinamide adenine dinucleotide (NAD+) precursor, has been shown to activate the mitochondrial unfolded protein response (UPRmt) and extend the lifespan when supplemented to C. elegans. The ketone body and histone deacetylase (HDAC) inhibitor beta-hydroxybutyrate (BHB) has also been shown to ...
Peters, J. Dylan, Peters, McKenzie P., Bradshaw, Patrick C.   +2 more
openaire   +2 more sources

Extended Riemann-Liouville fractional derivative operator and its applications [PDF]

, 2015
Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen, Choi, Junesang, Paris, Richard B.   +2 more
core   +1 more source

Power law Kohn anomalies and the excitonic transition in graphene

, 2012
Dirac electrons in graphene in the presence of Coulomb interactions of strength $\beta$ have been shown to display power law behavior with $\beta$ dependent exponents in certain correlation functions, which we call the mass susceptibilities of the system.
de Juan, Fernando, Fertig, Herbert A.
core   +1 more source

Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications [PDF]

Ingeniería y Ciencia, 2016
In this article, we define and study generalized forms of extended matrixvariate gamma and beta functions. By using a number of results from ma-trix algebra, special functions of matrix arguments and zonal polynomialswe derive a number of properties of these newly defined functions.
Daya K. Nagar, Sergio Alexander Gómez-Noguera, Arjun K. Gupta   +2 more
openaire   +4 more sources

Inequalities of extended (p,q)-beta and confluent hypergeometric function

, 2017
In this present paper, we establish the log-convexity and Tur n type inequalities of extended $(p,q)$-beta functions. Also, we present the log-convexity, the monotonicity and Tur n type inequalities for extended $(p,q)$-confluent hypergeometric function by using the inequalities of extended $(p,q)$-beta functions.
Mubeen, Shahid, Nisar, Kottakkaran Sooppy, Rahman, Gauhar, Arshad, Muhammad   +3 more
openaire   +3 more sources

Spread of wave packets in disordered hierarchical lattices

, 2017
We consider the spreading of the wave packet in the generalized Rosenzweig-Porter random matrix ensemble in the region of non-ergodic extended states ...
Abchuyeh, Mohsen Amini
core   +1 more source