Quantum BRST charge in gauge theories in curved space-time

@article{TaslimiTehrani2019QuantumBC,
  title={Quantum BRST charge in gauge theories in curved space-time},
  author={Mojtaba Taslimi Tehrani},
  journal={Journal of Mathematical Physics},
  year={2019}
}
Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, -]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of gauge theories in Lorentzian globally hyperbolic space-times, we derive an identity in renormalized perturbation theory which expresses the commutator $[\textbf{Q}_L, -]$ in terms of a new nilpotent quantum BRST differential and a new quantum anti-bracket… Expand

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References

SHOWING 1-10 OF 50 REFERENCES
Renormalized Quantum Yang-Mills Fields in Curved Spacetime
We present a proof that the quantum Yang–Mills theory can be consistently defined as a renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved, LorentzianExpand
Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory
We investigate various aspects of invariance under local symmetries in the framework of perturbative algebraic quantum field theory (pAQFT). Our main result is the proof that the quantumExpand
Superconformal quantum field theory in curved spacetime
By conformally coupling vector and hyper multiplets in Minkowski space, we obtain a class of field theories with extended rigid conformal supersymmetry on any Lorentzian 4-manifold admitting twistorExpand
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  • M. Fröb
  • Physics, Mathematics
  • Communications in Mathematical Physics
  • 2019
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Local BRST cohomology in gauge theories
Abstract The general solution of the anomaly consistency condition (Wess–Zumino equation) has been found recently for Yang–Mills gauge theory. The general form of the counterterms arising in theExpand
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A bstractWe study the N$$ \mathcal{N} $$ = 6 superconformal Chern-Simons matter field theory (the ABJM theory) conformally coupled to a Lorentzian, curved background spacetime. To support rigidExpand
A Local (Perturbative) Construction of Observables in Gauge Theories: The Example of QED
Abstract:Interacting fields can be constructed as formal power series in the framework of causal perturbation theory. The local field algebra is obtained without performing the adiabatic limit; theExpand
Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds
Abstract:We present a perturbative construction of interacting quantum field theories on smooth globally hyperbolic (curved) space-times. We develop a purely local version of theExpand
Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem
A manifestly covariant and local canonical operator formalism of non-Abelian gauge theories is presented in its full detail. This formalism, applicable to Yang-Mills theories as well as to gravity,Expand
On the Renormalization Group in Curved Spacetime
Abstract: We define the renormalization group flow for a renormalizable interacting quantum field in curved spacetime via its behavior under scaling of the spacetime metric, g→λ2g. We considerExpand
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