arXiv subjects

Clarence L. Lee

Publications and source records attributed to Clarence L. Lee.

3 recordsLinked to original sources

arXiv1997

Heavy Particle Effective Field Theories

Starting from a theory of heavy particles and antiparticles, the path integral formulation of an effective field theory which describes the low momentum interactions is presented. The heavy degrees of freedom are identified and explicitly integrated out from the functional integral of the full theory. Using this method, the effective Lagrangian, which may be calculated to arbitrary subleading order in an inverse mass expansion, is derived for fields of spin-0, 1/2, and 1.

hep-ph↗

arXiv1997

Reparameterization Invariance in Heavy Particle Effective Field Theories

In a low energy effective theory, the fields of heavy particles with mass $m$ and total momentum $p$ depend on both a velocity $v$ and a residual momentum $k$ such that $p =mv +k$. However, there is some arbitrariness in such a description because one may also use a slightly different velocity with a compensating change in the residual momentum. This non-uniqueness is the origin of an invariance under such a reparameterization which imposes non-trivial constraints on the theory. The implications of this invariance for effective theories of heavy spin-0, 1/2, and 1 fields is investigated.

hep-ph↗

arXiv1993

Evaluation of the One-loop Effective Action at Zero and Finite Temperature

A method for determining the leading quantum contributions to the effective action for both zero and finite temperatures is presented. While it is described in the context of a scalar field theory, it can be straight-forwardly extended to include fermions. An extrapolation procedure which can significantly enhance the computational efficiency is introduced. This formalism is used to investigate quantum corrections to the nucleation rate in first-order phase transitions.

hep-ph↗