Results 71 to 80 of about 295 (152)
Loop Amplitudes and Quantum Homotopy Algebras
We derive a recursion relation for loop-level scattering amplitudes of La- grangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory.
Branislav Jurčo +3 more
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Abstract A quantum gauge theory is anomalous within the BRST quantization if there does not exist any conserved, nilpotent BRST charge. What is to be called the BRST charge is then either a nilpotent of a conserved charge. It is proposed that a particular conserved charge may be used to consistently quantize an anomalous gauge theory.
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Massive gravity from a first-quantized perspective
In this work, we investigate the BRST quantization of the massive $${\mathcal {N}}=4$$ N = 4 supersymmetric spinning particle, with a twofold purpose: exploring different approaches to give mass to spinning particle models and formulating a first ...
Filippo Fecit
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On the geometric quantization and BRST quantization for bosonic strings
Abstract The complex geometry and the geometric quantization for bosonic strings are discussed. It is found that the conformal anomalies in the holomorphic and anti-holomorphic Fock spaces may be interpreted as curvatures of the holomorphic and anti-holomorphic Fock bundles on G″ = G/H.
Yue Yu, Han-Ying Guo
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Pair production of massive charged vector bosons from the worldline
We investigate a worldline formulation for a massive spin-1 particle interacting with an electromagnetic background. Two first-quantized descriptions of the spin degrees of freedom are considered: one based on bosonic oscillators and the other on ...
Fiorenzo Bastianelli +2 more
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BRST quantization of the superparticle
Abstract We show that the quantization of the superparticle action is possible. This is done by shifts in the BRST operator and the resulting action has an infinite number of ghosts. The total BRST operator is given by an infinite sum and is shown to be nilpotent. We also obtain a BRST invariant kinetic operator that contains the dynamical, auxiliary
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Soliton quantization in the BRST scheme
Abstract We apply the BRST quantization method to nonlinear field theories admitting solitonic solutions. We explicitly evaluate the quantum corrections to the soliton masses and transition amplitudes of the field operator. We compare our results with those obtained with more conventional methods.
F. Aldabe, D.R. Bes, N.N. Scoccola
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The algebraic structure of BRST quantization
Abstract It is shown that a system of first-class bosonic constraints obeying a Lie algebra has associated with it a natural superalgebra. BRST quantization arises as a non-linear representation of this superalgebra. Two distinct superalgebras are explicitly constructed and their associated BRST quantizations presented. The first BRST quantization is
Mark J. Bowick, Feza Gürsey
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Local operator algebras of charged states in gauge theory and gravity
Powerful techniques have been developed in quantum field theory that employ algebras of local operators, yet local operators cannot create physical charged states in gauge theory or physical nonzero-energy states in perturbative quantum gravity. A common
P. A. Grassi, M. Porrati
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Crossed products, conditional expectations and constraint quantization
Recent work has highlighted the importance of crossed products in correctly elucidating the operator algebraic approach to quantum field theories. In the gravitational context, the crossed product simultaneously promotes von Neumann algebras associated ...
Marc S. Klinger, Robert G. Leigh
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