scholarly journals Multi-Hamiltonian formulations and stability of higher-derivative extensions of 3d Chern–Simons

2018 ◽  
Vol 78 (2) ◽  
Author(s):  
V. A. Abakumova ◽  
D. S. Kaparulin ◽  
S. L. Lyakhovich
Keyword(s):  
Higher Derivative ◽  
Chern Simons

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 UNAVOIDABLE CONFLICT BETWEEN MASSIVE GRAVITY MODELS AND MASSIVE TOPOLOGICAL TERMS

2004 ◽  
Vol 19 (11) ◽  
pp. 817-826 ◽  
Author(s):  
ANTONIO ACCIOLY ◽  
MARCO DIAS
Keyword(s):  
Three Dimensional ◽  
Massive Gravity ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Tree Level ◽  
Common Belief ◽  
Higher Derivative ◽  
The Common ◽  
Chern Simons ◽  
Topological Term

Massive gravity models in (2+1) dimensions, such as those obtained by adding to Einstein's gravity the usual Fierz–Pauli, or the more complicated Ricci scalar squared (R2), terms, are tree level unitary. Interesting enough these seemingly harmless systems have their unitarity spoiled when they are augmented by a Chern–Simons term. Furthermore, if the massive topological term is added to [Formula: see text] gravity, or to [Formula: see text] gravity (higher-derivative gravity), which are nonunitary at the tree level, the resulting models remain nonunitary. Therefore, unlike the common belief, as well as the claims in the literature, the coexistence between three-dimensional massive gravity models and massive topological terms is conflicting.

scholarly journals BTZ black hole with Chern-Simons and higher derivative terms

2006 ◽  
Vol 2006 (07) ◽  
pp. 008-008 ◽  
Author(s):  
Bindusar Sahoo ◽  
Ashoke Sen
Keyword(s):  
Black Hole ◽  
Btz Black Hole ◽  
Higher Derivative ◽  
Chern Simons
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