Projection Operator Approach to Langevin Equations in $φ^4$ Theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

35pages,2figures, Prog. Theor. Phys. Vol. 107 No. 5 in press

Scientific paper

10.1143/PTP.107.1001

We apply the projection operator method (POM) to $\phi^4$ theory and derive both quantum and semiclassical equations of motion for the soft modes. These equations have no time-convolution integral term, in sharp contrast with other well-known results obtained using the influence functional method (IFM) and the closed time path method (CTP). However, except for the fluctuation force field terms, these equations are similar to the corresponding equations obtained using IFM with the linear harmonic approximation, which was introduced to remove the time-convolution integral. The quantum equation of motion in POM can be regarded as a kind of quantum Langevin equation in which the fluctuation force field is given in terms of the operators of the hard modes. These operators are then replaced with c-numbers using a certain procedure to obtain a semiclassical Langevin equation. It is pointed out that there are significant differences between the fluctuation force fields introduced in this paper and those introduced in IFM. The arbitrariness of the definition of the fluctuation force field in IFM is also discussed.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Projection Operator Approach to Langevin Equations in $φ^4$ Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Projection Operator Approach to Langevin Equations in $φ^4$ Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projection Operator Approach to Langevin Equations in $φ^4$ Theory will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-726556

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.