Dimensional reduction of the effective action and the multiplicative anomaly

1999 ◽  
Author(s):  
Patrick J. Sutton
Keyword(s):  
Effective Action ◽  
Dimensional Reduction

scholarly journals FROM p-BRANES TO COSMOLOGY

1999 ◽  
Vol 14 (26) ◽  
pp. 4121-4142 ◽  
Author(s):  
H. LÜ ◽  
S. MUKHERJI ◽  
C. N. POPE
Keyword(s):  
String Theory ◽  
Effective Action ◽  
Dimensional Reduction ◽  
Cosmological Models ◽  
Cosmological Solutions ◽  
M Theory ◽  
The Relationship

We study the relationship between static p-brane solitons and cosmological solutions of string theory or M theory. We discuss two different ways in which extremal p-branes can be generalized to nonextremal ones, and show how wide classes of recently discussed cosmological models can be mapped into nonextremal p-brane solutions of one of these two kinds. We also extend previous discussions of cosmological solutions to include some that make use of cosmological-type terms in the effective action that can arise from the generalized dimensional reduction of string theory or M theory.

scholarly journals Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1237
Author(s):  
Dmitry Antonov
Keyword(s):  
Gauge Boson ◽  
Effective Action ◽  
Dimensional Reduction ◽  
Higgs Model ◽  
Analytic Calculation ◽  
Standard Result ◽  
Correlation Lengths ◽  
Yang Mills ◽  
Diamagnetic Contribution ◽  
The One

We present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit, where these particles are massless, the standard result of - 12 for the ratio of the paramagnetic to the diamagnetic contribution is reproduced. If the mass of the gauge boson and the ghost become much larger than the inverse vacuum correlation lengths of the Yang–Mills vacuum, the value of the ratio goes to - 8 . We also find that the same values of the ratio are achieved in the deconfinement phase of the model, up to the temperatures at which the dimensional reduction occurs.

scholarly journals ONE-LOOP EFFECTS IN VARIOUS DIMENSIONS AND D-BRANES

1998 ◽  
Vol 13 (31) ◽  
pp. 5409-5423 ◽  
Author(s):  
CHAOUKI BOULAHOUACHE ◽  
GEORGE THOMPSON
Keyword(s):  
Gauge Field ◽  
Effective Action ◽  
Dimensional Reduction ◽  
Quantum Effect ◽  
Yang Mills ◽  
Six Dimensions ◽  
Weyl Fermion

We calculate some one-loop corrections to the effective action of theories in d dimensions that arise on the dimensional reduction of a Weyl fermion in D dimensions. The terms that we are interested in are of a topological nature. Special attention is given to the effective actions of the super Yang–Mills theories that arise on dimensional reduction of the N=1 theory in six dimensions or on the dimensional reduction of the N=1 theory in ten dimensions. In the latter case we suggest an interpretation of the quantum effect as a coupling of the gauge field on the brane to a relative background gauge field.

DIMENSIONAL REDUCTION AND THE VACUUM STATE IN THE SUPERSTRING THEORY

2002 ◽  
Vol 17 (30) ◽  
pp. 1965-1972 ◽  
Author(s):  
M. D. POLLOCK
Keyword(s):  
Effective Action ◽  
Dimensional Reduction ◽  
Euler Number ◽  
Physical Space ◽  
Vacuum State ◽  
Number Density ◽  
Superstring Theory ◽  
Higher Derivative ◽  
Derivative Term

The ten-dimensional effective action of the heterotic superstring theory contains a quadratic higher-derivative term in the form of the Euler-number density [Formula: see text]. We discuss the role of this term in determining the dimensionality [Formula: see text] of the physical space–time, obtained by dimensional reduction, applying the Feynman propagator and the zero-action hypothesis.

scholarly journals DIFFERENTIAL RENORMALIZATION OF THE WESS-ZUMINO MODEL

1992 ◽  
Vol 07 (10) ◽  
pp. 893-901 ◽  
Author(s):  
PETER E. HAAGENSEN
Keyword(s):  
Effective Action ◽  
Dimensional Reduction ◽  
Explicit Calculation ◽  
Loop Order ◽  
Differential Renormalization ◽  
Β Function ◽  
Zumino Model

We apply the recently developed method of differential renormalization to the Wess-Zumino model. From the explicit calculation of a finite, renormalized effective action, the β-function is computed to three loops and is found to agree with previous existing results. As a further, non-trivial check of the method, the Callan-Symanzik equations are also verified to that loop order. Finally, we argue that differential renormalization presents advantages over other superspace renormalization methods, in that it avoids both the ambiguities inherent to supersymmetric regularization by dimensional reduction (SRDR), and the complications of virtually all other supersymmetric regulators.

Effective action on global warming?

1990 ◽  
Vol 4 (6) ◽  
pp. 262
Author(s):  
P.R. Wyman
Keyword(s):  
Global Warming ◽  
Effective Action
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