Results 1 - 10 of 455

Singularities of renormalization group flows

by Jeffrey Streets - J. Geom. Phys
"... Abstract. We discuss singularity formation in certain renormalization group flows. A special case is the Ricci Yang-Mills flow. We point out some results suggesting that topological hypotheses can make RG flows much less singular than Ricci flow. In particular we show that for rotationally symmetric ..."
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Abstract. We discuss singularity formation in certain renormalization group flows. A special case is the Ricci Yang-Mills flow. We point out some results suggesting that topological hypotheses can make RG flows much less singular than Ricci flow. In particular we show that for rotationally

Applicability of multiplicative renormalization method for a certain function

by Izumi Kubo, Hui-hsiung Kuo, Suat Namli - Communication of Stochastic Analysis , 2008
"... Abstract. We characterize the class of probability measures for which the multiplicative renormalization method can be applied for the function h(x) = 1√ 1−x to obtain orthogonal polynomials. It turns out that this class consists of only uniform probability measures on intervals and probability meas ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Abstract. We characterize the class of probability measures for which the multiplicative renormalization method can be applied for the function h(x) = 1√ 1−x to obtain orthogonal polynomials. It turns out that this class consists of only uniform probability measures on intervals and probability

Testable Consequences of Curved-Spacetime Renormalization

by Leonard Parker , 1998
"... I consider certain renormalization effects in curved spacetime quantum field theory. In the very early universe these effects resemble those of a cosmological constant, while in the present universe they give rise to a significant finite renormalization of the gravitational constant. The relevant re ..."
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I consider certain renormalization effects in curved spacetime quantum field theory. In the very early universe these effects resemble those of a cosmological constant, while in the present universe they give rise to a significant finite renormalization of the gravitational constant. The relevant

Renormalization and motivic Galois theory

by Alain Connes, Matilde Marcolli - International Math. Research Notices
"... Abstract. We investigate the nature of divergences in quantum field theory, showing that they are organized in the structure of a certain “ motivic Galois group ” U ∗ , which is uniquely determined and universal with respect to the set of physical theories. The renormalization group can be identifie ..."
Abstract - Cited by 27 (13 self) - Add to MetaCart
Abstract. We investigate the nature of divergences in quantum field theory, showing that they are organized in the structure of a certain “ motivic Galois group ” U ∗ , which is uniquely determined and universal with respect to the set of physical theories. The renormalization group can

Renormalization Theory For Multimodal Maps

by Daniel Smania - Eletronic Preprint, IMPA , 2001
"... We study the dynamics of the renormalization operator for multimodal maps. In particular, we develop a combinatorial theory for certain kind of multimodal maps. We also prove that renormalizations of innitely renormalizable multimodal maps with same bounded combinatorial type are exponentially c ..."
Abstract - Cited by 4 (4 self) - Add to MetaCart
We study the dynamics of the renormalization operator for multimodal maps. In particular, we develop a combinatorial theory for certain kind of multimodal maps. We also prove that renormalizations of innitely renormalizable multimodal maps with same bounded combinatorial type are exponentially

Motivic renormalization and singularities

by Matilde Marcolli
"... Abstract. We consider parametric Feynman integrals and their dimensional regularization from the point of view of differential forms on hypersurface complements and the approach to mixed Hodge structures via oscillatory integrals. We consider restrictions to linear subspaces that slice the singular ..."
Abstract - Cited by 10 (4 self) - Add to MetaCart
coboundaries and, like dimensional regularization, replaces a divergent integral with a Laurent series in a complex parameter. The Connes–Kreimer formulation of renormalization can be applied to this regularization method. We relate the dimensional regularization of the Feynman integral to the Mellin

RENORMALIZATION OF CERTAIN INTEGRALS DEFINING TRIPLE PRODUCT L-FUNCTIONS

by Jennifer E. Beineke
"... We obtain special values results for the triple product L-function attached to a Hilbert modular cuspidal eigenform over a totally real quadratic number field and an elliptic modular cuspidal eigenform, both of level one and even weight. Replacing the elliptic modular cusp form by a specified Eisens ..."
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the critical values of this renormalized triple product. 1. Introduction. This paper investigates Zagier’s technique of renormalization ([Z]), applied to an integral defining a certain triple product L-function. The renormalized integral becomes the product of two Asai L-functions, one shifted by an integer.

Confinement and Renormalization 1

by Janos Polonyi , 1995
"... The haaron gas description is reviewed for the QCD vacuum. The role of nonrenormalizable operators is emphasised in the mechanism which generates the string tension. Additional examples are mentioned where certain nonrenormalizable operators of the bare lagrangian turn out to be important at finite ..."
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The haaron gas description is reviewed for the QCD vacuum. The role of nonrenormalizable operators is emphasised in the mechanism which generates the string tension. Additional examples are mentioned where certain nonrenormalizable operators of the bare lagrangian turn out to be important at finite

NONPERTURBATIVE RENORMALIZATION WITH LATTICE REGULARIZATION*

by unknown authors , 1982
"... Starting from the correlation functions of a particular lattice theory a sequence of theories is defined in a consequent way. The determination of the sequence of parameters is based on a certain set of functions which has to exhibit an attractive fixed point and further specific properties. Possibl ..."
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Starting from the correlation functions of a particular lattice theory a sequence of theories is defined in a consequent way. The determination of the sequence of parameters is based on a certain set of functions which has to exhibit an attractive fixed point and further specific properties

Renormalons and the Renormalization Scheme

by I. M. Suslov , 2005
"... The possibility is discussed that existence of renormalon singularities is not the internal property of the specific field theory but depends on the renormalization scheme. According to the recent paper [1], existence or absence of renormalon singularities is related with the analiticity properties ..."
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(g) = β2g 2 + β3g 3 +... In essence, the change of the renormalization scheme is simply a change of variables g = f(˜g), transferring β(g) to ˜ β(˜g) = β(f(˜g))/f ′ (˜g). Function f(g) is subjected to certain physical restrictions, such as f(g) = g + O(g 2); in fact, these restrictions
Results 1 - 10 of 455