Quantum field theory from an exponential action functional

Abstract

In recent years plentiful research papers have been advocated to the study of analytical techniques in calculus of variations. Many important applications are found in such fields as quantum field theories and many new properties have been raised, studied and explicit solutions have been achieved by many authors. In this work we derive a modification of the Klein–Gordon and Dirac equations of quantum field theories starting from an exponential action functional recently introduced by the author of the present work. Both standard and non-standard Lagrangians are considered. It was observed that some quantum field equations which appear in many field theories dealing with quantum gravitational corrections are raised.