scholarly journals Generation of Carroll–Field–Jackiw term in the functional integral approach within Horava–Lifshitz z = 3 CPT-violating QED

Author(s):  
T. Mariz ◽  
R. Martinez ◽  
J. R. Nascimento ◽  
A. Yu. Petrov

In this paper, we apply the functional integral methodology to induce the Carroll–Field–Jackiw (CFJ) term in Horava–Lifshitz [Formula: see text] CPT-violating QED, where Lorentz and CPT breaking for fermion and photon sectors is introduced, and show that the CFJ term is finite but undetermined.

1997 ◽  
Vol 56 (1) ◽  
pp. 708-711 ◽  
Author(s):  
Victor Malyutin ◽  
Savely Rabinovich ◽  
Shlomo Havlin

2016 ◽  
Vol 24 (2) ◽  
Author(s):  
Luiz C. L. Botelho

AbstractWe analyze on the formalism of probabilities measures-functional integrals on function space the problem of infinities on Euclidean field theories. We also clarify and generalize our previous published studies on the subject.


1979 ◽  
Vol 94 (2) ◽  
pp. 437-450 ◽  
Author(s):  
A. Richter ◽  
G. Röpke ◽  
F. Goedsche

2006 ◽  
Vol 21 (32) ◽  
pp. 6525-6574 ◽  
Author(s):  
ANDRÉ VAN TONDER

We discuss a covariant functional integral approach to the quantization of the bosonic string. In contrast to approaches relying on noncovariant operator regularizations, interesting operators here are true tensor objects with classical transformation laws, even on target spaces where the theory has a Weyl anomaly. Since no implicit noncovariant gauge choices are involved in the definition of the operators, the anomaly is clearly separated from the issue of operator renormalization and can be understood in isolation, instead of infecting the latter as in other approaches. Our method is of wider applicability to covariant theories that are not Weyl invariant, but where covariant tensor operators are desired. After constructing covariantly regularized vertex operators, we define a class of background-independent path integral measures suitable for string quantization. We show how gauge invariance of the path integral implies the usual physical state conditions in a very conceptually clean way. We then discuss the construction of the BRST action from first principles, obtaining some interesting caveats relating to its general covariance. In our approach, the expected BRST related anomalies are encoded somewhat differently from other approaches. We conclude with an unusual but amusing derivation of the value D = 26 of the critical dimension.


1990 ◽  
Vol 23 (10) ◽  
pp. 1829-1832 ◽  
Author(s):  
L C L Botelho ◽  
E de Pinho da Silva

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