scholarly journals Anomaly-induced effective action and Chern–Simons modification of general relativity

2015 ◽  
Vol 746 ◽  
pp. 372-378 ◽  
Author(s):  
Sebastião Mauro ◽  
Ilya L. Shapiro
Keyword(s):  
General Relativity ◽  
Effective Action ◽  
Chern Simons

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

scholarly journals Effective action and thermodynamics of radiating shells in general relativity

1999 ◽  
Vol 60 (12) ◽  
Author(s):  
G. L. Alberghi ◽  
R. Casadio ◽  
G. Venturi
Keyword(s):  
General Relativity ◽  
Effective Action

scholarly journals The Quantum Cosmological Constant

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1130 ◽  
Author(s):  
Stephon Alexander ◽  
Joao Magueijo ◽  
Lee Smolin
Keyword(s):  
General Relativity ◽  
Quantum Theory ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Uncertainty Relation ◽  
Time Variable ◽  
Transition Functions ◽  
New Interpretation ◽  
Chern Simons

We present an extension of general relativity in which the cosmological constant becomes dynamical and turns out to be conjugate to the Chern–Simons invariant of the Ashtekar connection on a spatial slicing. The latter has been proposed Soo and Smolin as a time variable for quantum gravity: the Chern–Simons time. In the quantum theory, the inverse cosmological constant and Chern–Simons time will then become conjugate operators. The “Kodama state” gets a new interpretation as a family of transition functions. These results imply an uncertainty relation between Λ and Chern–Simons time; the consequences of which will be discussed elsewhere.

scholarly journals Induction of the higher-derivative Chern–Simons extension in QED3

2016 ◽  
Vol 31 (25) ◽  
pp. 1650140 ◽  
Author(s):  
M. A. Anacleto ◽  
F. A. Brito ◽  
O. Holanda ◽  
E. Passos ◽  
A. Yu. Petrov
Keyword(s):  
Effective Action ◽  
Three Dimensional ◽  
Higher Derivative ◽  
Chern Simons

We perform the perturbative generation of the higher-derivative Chern–Simons contribution to the effective action in the three-dimensional QED at zero and finite temperatures. In the latter case, we show that as the temperature goes to infinity this contribution vanishes. However, as expected, as the temperature goes to zero only the covariant part survives. The noncovariant part contributes only in intermediate temperatures where it presents a maximum.

scholarly journals BERRY CONNECTIONS AND INDUCED GAUGE FIELDS IN QUANTUM MECHANICS ON SPHERE

2000 ◽  
Vol 15 (18) ◽  
pp. 1203-1212 ◽  
Author(s):  
HITOSHI IKEMORI ◽  
SHINSAKU KITAKADO ◽  
HIDEHARU OTSU ◽  
TOSHIRO SATO
Keyword(s):  
Quantum Mechanics ◽  
Effective Action ◽  
Degrees Of Freedom ◽  
Gauge Fields ◽  
Chern Simons ◽  
Topological Term

Quantum mechanics on sphere Sn is studied from the viewpoint that the Berry's connection has to appear as a topological term in the effective action. Furthermore we show that this term is the Chern–Simons term of gauge variables that correspond to the extra degrees of freedom of the enlarged space.

INDUCED PARITY-VIOLATION ANOMALY FOR A SPIN-3/2 FIELD IN THREE DIMENSIONS

1992 ◽  
Vol 07 (27) ◽  
pp. 2519-2525
Author(s):  
J. R. S. DO NASCIMENTO ◽  
E. R. BEZERRA DE MELLO
Keyword(s):  
Vector Field ◽  
Parity Violation ◽  
Effective Action ◽  
Order Approximation ◽  
Three Dimensions ◽  
Chern Simons

A diagrammatic computation of the parity-violating effective action for the massless Rarita-Schwinger field induced by its interaction with a spin 0 and 1/2 fields is presented. The lowest-order approximation is compared with the Chern-Simons term previously obtained for the spinor-vector field.

RENORMALIZATION AMBIGUITIES AND GAUGE SYMMETRY IN CHERN–SIMONS THEORIES

1998 ◽  
Vol 13 (07) ◽  
pp. 511-525
Author(s):  
J. L. LÓPEZ
Keyword(s):  
Effective Action ◽  
Three Dimensional ◽  
Gauge Coupling ◽  
Simons Theory ◽  
Radiative Corrections ◽  
Dirac Fermions ◽  
Coupling Constant ◽  
Effective Constant ◽  
Chern Simons ◽  
Chern Simons Theory

The universality of radiative corrections to the gauge coupling constant k of the Chern–Simons theory is studied in a very general regularization scheme in the background gauge formalism. The effective constant k eff induced by radiative corrections can be any real number depending on the balance between the ultraviolet behavior of scalar and pseudoscalar terms in the regularized action. This ambiguity of the effective action is related to the ambiguity in the parity anomaly of three-dimensional Dirac fermions. The effective action also contains a non-analytic term in the gauge field with the same coefficient and opposite gauge transformation in such a way that the effective action is gauge-invariant. The results open the possibility of a connection with non-rational two-dimensional conformal theories for non-integer values of k eff .

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