The Ground State Energy of The Massless Spin-Boson Model

Details The Ground State Energy of The Massless Spin-Boson Model The Ground State Energy of The Massless Spin-Boson Model

2010-05-24

arxiv.org/abs/1005.4366v2

Annales Henri Poincare 12:1321-1347,2011

Physics

Mathematical Physics

32 pages, 4 figures, a remark and references added, typos corrected, minor computational errors corrected

Scientific paper

10.1007/s00023-011-0103-6

We provide an explicit combinatorial expansion for the ground state energy of the massless spin-Boson model as a power series in the coupling parameter. Our method uses the technique of cluster expansion in constructive quantum field theory and takes as a starting point the functional integral representation and its reduction to an Ising model on the real line with long range interactions. We prove the analyticity of our expansion and provide an explicit lower bound on the radius of convergence. We do not need multiscale nor renormalization group analysis. A connection to the loop-erased random walk is indicated.

Affiliated with

Also associated with

No associations

Rating

The Ground State Energy of The Massless Spin-Boson Model 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 The Ground State Energy of The Massless Spin-Boson Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Ground State Energy of The Massless Spin-Boson Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119448