A renormalization procedure recursive with respect to the number of loops

1982 ◽  
Vol 52 (2) ◽  
pp. 733-739 ◽  
Author(s):  
V. A. Il'in ◽  
M. S. Imashev ◽  
D. A. Slavnov
Keyword(s):  
Renormalization Procedure

scholarly journals Charge algebra in Al(A)dSn spacetimes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Adrien Fiorucci ◽  
Romain Ruzziconi
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Three Dimensional ◽  
Dirichlet Boundary Conditions ◽  
Boundary Structure ◽  
Asymptotic Symmetry ◽  
Renormalization Procedure ◽  
Field Dependent ◽  
Odd Dimensions

Abstract The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in n dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent 2-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the 2-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the Λ-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in n dimensions.

scholarly journals DIFFERENTIAL RENORMALIZATION FOR CURVED SPACE AND FINITE TEMPERATURE

1995 ◽  
Vol 10 (19) ◽  
pp. 2819-2839 ◽  
Author(s):  
JORDI COMELLAS ◽  
PETER E. HAAGENSEN ◽  
JOSÉ I. LATORRE
Keyword(s):  
Finite Temperature ◽  
Field Theories ◽  
Coordinate Space ◽  
Renormalization Procedure ◽  
Central Idea ◽  
Curved Space ◽  
Diffeomorphism Invariance ◽  
Differential Renormalization ◽  
Specific Calculations ◽  
Scalar Theories

We derive, based only on simple principles of renormalization in coordinate space, closed renormalized amplitudes and renormalization group constants at one- and two-loop orders for scalar field theories in general backgrounds. This is achieved through a renormalization procedure we develop exploiting the central idea behind differential renormalization, which needs as the only inputs the propagator and the appropriate Laplacian for the backgrounds in question. We work out this coordinate space renormalization in some detail, and subsequently back it up with specific calculations for scalar theories both on curved backgrounds, manifestly preserving diffeomorphism invariance, and at finite temperature.

THE ROLE OF THE GHOST FIELDS IN THE RENORMALIZED t–J LAGRANGIAN MODEL

2009 ◽  
Vol 23 (04) ◽  
pp. 493-519
Author(s):  
O. S. ZANDRON
Keyword(s):  
Thermal Softening ◽  
Lagrangian Model ◽  
Lagrangian Formalism ◽  
Spin Polaron ◽  
Renormalization Procedure ◽  
Ghost Field

The present work treats the role of ghost fields in the renormalization procedure of the Lagrangian perturbative formalism of the t–J model. We show that by introducing proper ghost field variables, the propagators and vertices can be renormalized to each order. In particular, the renormalized ferromagnetic magnon propagator coming from our previous Lagrangian formalism is studied in detail, and it is shown how the thermal softening of the magnon frequency is predicted by the model. The antiferromagnetic case is also analyzed, and the results are confronted with the previous one obtained by means of the spin-polaron theories.

QUANTUM FIELDS WITH MODIFIED DISPERSION RELATIONS IN CURVED SPACES

2011 ◽  
Vol 20 (05) ◽  
pp. 745-756 ◽  
Author(s):  
FRANCISCO DIEGO MAZZITELLI
Keyword(s):  
Vector Field ◽  
General Structure ◽  
Scalar Fields ◽  
Field Approximation ◽  
Weak Field ◽  
Dispersion Relations ◽  
Quantum Fields ◽  
Renormalization Procedure ◽  
Modified Dispersion Relations ◽  
Weak Field Approximation

We discuss the renormalization procedure for quantum scalar fields with modified dispersion relations in curved spacetimes. We consider two different ways of introducing modified dispersion relations: through the interaction with a dynamical temporal vector field, as in the context of the Einstein–Aether theory, and breaking explicitly the covariance of the theory, as in Hǒrava–Lifshitz gravity. Working in the weak field approximation, we show that the general structure of the counterterms depends on the UV behavior of the dispersion relations and on the mechanism chosen to introduce them.

The Current Contribution to the Thermal Generation of Vortices in HTSC

1999 ◽  
Vol 13 (09n10) ◽  
pp. 1111-1116 ◽  
Author(s):  
L. Romano' ◽  
C. Paracchini
Keyword(s):  
Critical Current ◽  
Renormalization Procedure ◽  
Thermal Generation ◽  
Current Contribution ◽  
Pairing Potential ◽  
Generation Of Vortices

A model for the current assisted thermal generation of vortices in planar superconductors is proposed. The Lorentz term is added to the vortex-antivortex pairing potential. Following the KT renormalization procedure, one obtains a dependence of the critical current on the temperature and the distribution of the dissipation in the I-T plane.

scholarly journals EULER–HEISENBERG LAGRANGIAN THROUGH KREIN REGULARIZATION

2013 ◽  
Vol 28 (14) ◽  
pp. 1350056 ◽  
Author(s):  
A. REFAEI
Keyword(s):  
Electromagnetic Field ◽  
Effective Action ◽  
Light Cone ◽  
Krein Space ◽  
Renormalization Procedure ◽  
Constant Electromagnetic Field ◽  
Kreĭn Space ◽  
The One ◽  
Convergent Solution ◽  
Krein Regularization

The Euler–Heisenberg effective action at the one-loop for a constant electromagnetic field is derived in Krein space quantization with Ford's idea of fluctuated light-cone. In this work, we present a perturbative but convergent solution of the effective action. Without using any renormalization procedure, the result coincides with the famous renormalized Euler–Heisenberg action.

scholarly journals GENERALIZED 2-D BF MODEL QUANTIZED IN THE AXIAL GAUGE

2000 ◽  
Vol 15 (07) ◽  
pp. 483-497
Author(s):  
R. LEITGEB ◽  
J. RANT ◽  
M. SCHWEDA ◽  
H. ZERROUKI
Keyword(s):  
Perturbation Theory ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Renormalization Procedure ◽  
Matter Coupling ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
Dimensional Space Time ◽  
Topological Matter

We discuss the uv finiteness of the two-dimensional BF model coupled to topological matter quantized in the axial gauge. This noncovariant gauge fixing avoids the ir problem in the two-dimensional space–time. The BF model together with the matter coupling is obtained by dimensional reduction of the ordinary three-dimensional BF model. This procedure furnishes the usual linear vector supersymmetry and an additional scalar supersymmetry. The whole symmetry content of the model allows one to apply the standard algebraic renormalization procedure which we use to prove that this model is uv finite and anomaly free to all orders of perturbation theory.

The principle of minimum sensitivity and moments of nonsinglet structure functions

1983 ◽  
Vol 61 (1) ◽  
pp. 99-101 ◽  
Author(s):  
Gerry McKeon
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Finite Order ◽  
Parton Model ◽  
Structure Functions ◽  
Renormalization Procedure ◽  
Dependent Part ◽  
Model Predictions ◽  
Minimum Sensitivity

The corrections implied by quantum chromodynamics to parton model predictions are not unique to finite order in perturbation theory on account of the possibility of choosing different renormalization schemes. Stevenson has provided a criterion for selecting the "best" renormalization procedure; the so-called "principle of minimum sensitivity" (PMS). This criterion is applied here to the Q2-dependent part of the moments of the nonsinglet structure functions in lepton–hadron scattering.

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