Unrenormalizable Theories Can Be Predictive. Typeset Using Revt E X 1
نویسنده
چکیده
Unrenormalizable theories contain infinitely many free parameters. Considering these theories in terms of the Wilsonian renormalization group (RG), we suggest a method for removing this large ambiguity. Our basic assumption is the existence of the maximal ultraviolet cutoff in a cutoff theory, and we require that the theory be so fine-tuned as to reach the maximal cutoff. The theory so obtained behaves as a local continuum theory to the shortest distance. In concrete examples of the scalar theory we find that at least in a certain approximation to the Wilsonian RG, this requirement enable us to make unique predictions in the infrared regime in terms of a finite number of independent parameters. Therefore, the method might provide a way for calculating quantum corrections in a low-energy effective theory of quantum gravity. 04.60.-m, 11.10.Gh, 11.10.Hi, 11.10.Kk, 11.25.Db Typeset using REVTEX 1
منابع مشابه
A Proposal of a Renormalization Group Transformation for Lattice Field Theories Typeset Using Revt E X
We propose a new Real Space Renormalization Group transformation useful for Monte Carlo calculations in theories with global or local symmetries. From relaxation arguments we deene the block-spin transformation with two tunable free parameters, adapted to the system's action. Varying them it is possible to place the xed point very close to the simulation point. We show how the method works in a...
متن کاملTypeset Using Revt E X 1
The HQET/NRQCD Lagrangian is computed to order α/m3. The computation is performed using dimensional regularization to regulate the ultraviolet and infrared divergences. The results are consistent with reparametrization invariance to order 1/m3. Some subtleties in the matching conditions for NRQCD are discussed. Typeset using REVTEX 1
متن کاملSpacetime Embedding Diagrams for Black Holes * Typeset Using Revt E X
We show that the 1+1 dimensional reduction (i.e., the radial plane) of the Kruskal black hole can be embedded in 2+1 Minkowski spacetime and discuss how features of this spacetime can be seen from the embedding diagram. The purpose of this work is educational: The associated embedding diagrams may be useful for explaining aspects of black holes to students who are familiar with special relativi...
متن کاملAdjoint \quark" Color Elds in Four-dimensional Lattice Gauge Theory: Vacuum Screening and Penetration Typeset Using Revt E X
The elds generated by \quarks" in the adjoint representation of SU(2) color are analyzed in the scaling region of the four-dimensional lattice theory. Evidence of vacuum screening of adjoint quarks is obtained from a comparison of quark-antiquark (QQ) ux-tubes for quarks in the adjoint (\isospin" j = 1) and fundamental (j = 1=2) representations. The component E j of the colorelectric eld streng...
متن کامل