Journal ArticleDOI
Operator coefficients for composite operators in the (φ4)4 theory
TLDR
In this paper, the coefficient functions in the products of φ2 and φ4 to first order in the parameter λ were derived and two-loop beta functions were obtained.About:
This article is published in Nuclear Physics.The article was published on 1993-04-12. It has received 20 citations till now. The article focuses on the topics: Ladder operator & Shift operator.read more
Citations
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A proof of local background independence of classical closed string field theory
Ashoke Sen,Barton Zwiebach +1 more
TL;DR: In this article, the authors give a complete proof of local background independence of the classical master action for closed strings by constructing explicitly a symplectic diffeomorphism between their state spaces mapping the corresponding non-polynomial string actions into each other.
Journal ArticleDOI
Connections on the state-space over conformal field theories
TL;DR: In this article, the curvatures of local fields over the space of conformal field theories are computed in terms of four-point correlators, D, ωμ, and their curvatures are used to construct a CFT in the state-space of another CFT a finite distance away.
Journal ArticleDOI
All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator
Journal ArticleDOI
Vacuum expectation values from a variational approach
TL;DR: In this article, an extension of the variational approach known as Truncated Conformal Space is proposed to compute numerically the Vacuum Expectation Values of the operators of a conformal field theory perturbed by a relevant operator.
Journal ArticleDOI
Composite operators in QCD
TL;DR: In this article, the authors derived a relation between the anomalous dimensions of the composite operators and the unintegrable part of the operator product coefficients by imposing consistency conditions, and then gave a formula for the derivatives of a correlation function of composite operators with respect to the parameters (i.e., the strong fine structure constant and the quark mass) of QCD in four-dimensional euclidean space.
References
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Journal ArticleDOI
Non-Lagrangian Models of Current Algebra
TL;DR: In this article, an alternative to specific Lagrangian models of current algebra is proposed, in which scale invariance is a broken symmetry of strong interactions, as proposed by Kastrup and Mack.
Book
Statistical Field Theory
Giorgio Parisi,Jonathan Machta +1 more
TL;DR: In this article, the authors present a model for classical equilibrium statistical mechanics, including the Ising model, the Landau-Ginsbourg model, and the Renormalization Group.
Journal ArticleDOI
Small distance behaviour in field theory and power counting
TL;DR: In this article, a linear first order partial differential equations for the asymptotic forms of the vertex functions are solved in terms of one universal function of one variable and one function of another variable for each vertex function.
Journal ArticleDOI
An algorithm for the poles at dimension four in the dimensional regularization procedure
TL;DR: In this paper, a simple algorithm is derived to express Δ L in terms of the components of the Lagrangian L without performing integrations, which can be used in dimensional regularization, but also to derive Callan-Symanzik type equations for small distance behaviour in any renormalizable theory.
Journal ArticleDOI
Composite operators in QCD
TL;DR: In this article, the authors derived a relation between the anomalous dimensions of the composite operators and the unintegrable part of the operator product coefficients by imposing consistency conditions, and then gave a formula for the derivatives of a correlation function of composite operators with respect to the parameters (i.e., the strong fine structure constant and the quark mass) of QCD in four-dimensional euclidean space.