scholarly journals Generalized U(N) gauge transformations in the realm of the extended covariant Hamilton formalism of field theory

2012 ◽  
Vol 40 (1) ◽  
pp. 015007 ◽  
Author(s):  
J Struckmeier
Keyword(s):  
Field Theory ◽  
Gauge Transformations ◽  
Hamilton Formalism

scholarly journals The canonical formulation of E6(6) exceptional field theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Lars T. Kreutzer
Keyword(s):  
Field Theory ◽  
Model Theory ◽  
Kinetic Term ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Canonical Formulation ◽  
Ashtekar Variables ◽  
Constraint Algebra ◽  
Topological Term

Abstract We investigate the canonical formulation of the (bosonic) E6(6) exceptional field theory. The explicit non-integral (not manifestly gauge invariant) topological term of E6(6) exceptional field theory is constructed and we consider the canonical formulation of a model theory based on the topological two-form kinetic term. Furthermore we construct the canonical momenta and the canonical Hamiltonian of the full bosonic E6(6) exceptional field theory. Most of the canonical gauge transformations and some parts of the canonical constraint algebra are calculated. Moreover we discuss how to translate the results canonically into the generalised vielbein formulation. We comment on the possible existence of generalised Ashtekar variables.

scholarly journals QUANTIZATION WITHOUT THE WITTEN ANOMALIES

1996 ◽  
Vol 11 (32n33) ◽  
pp. 2601-2609 ◽  
Author(s):  
T.D. KIEU
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Boundary Conditions ◽  
Path Integral ◽  
Quantum Field ◽  
Quantum Fields ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Gauge Transformations ◽  
Gauge Anomalies

It is argued that gauge anomalies are only artefacts of the conventional quantization of quantum field theory. When the Berry’s phase is taken into consideration to satisfy certain boundary conditions of the generating path integral, the gauge anomalies associated with homotopically nontrivial gauge transformations are explicitly shown to be eliminated, without any extra quantum fields introduced.

Sign in / Sign up

Export Citation Format

Share Document