The Auxiliary Mass Method beyond the Local Potential Approximation

Ogure, Kenzo; Sato, Joe

doi:10.1143/ptp.106.131

Search citation statements

Order By: Relevance

Paper Sections

Select...

K Ogure1

§1 Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2001

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This effect actually appears in the scalar theory. 63) We, however, do not know how such terms change the phase diagram before calculating the next order effect explicitly. In the present paper, the auxiliary mass method is shown to be useful to investigate the tricritical points of phase transitions, which are difficult to investigate with the ordinary perturbation theory near the critical temperature, due to the bad infrared behavior of the loop expansion.…”

Section: K Ogurementioning

confidence: 99%

See 1 more Smart Citation

Phase Diagram of the Abelian Higgs Model Using the Auxiliary Mass Method

Ogure

2001

Progress of Theoretical Physics

View full text Add to dashboard Cite

We study a phase transition in the Abelian Higgs model at finite temperature using the auxiliary mass method. We vary the gauge coupling constant q and the scalar self-coupling constant λ. We find that a first-order phase transition disappears at a tricritical point. It can be fit by the form q 2 ∝ λ ζ very well. The value of the parameter ζ depends on the range of λ . Our results can be applied to experiments on high-temperature superconductors and liquid crystals. In particular, the tricritical point is κ c = 0.28 for superconductors, where q = 2e. * ) ogure@phys.sci.kobe-u.ac.jp * * ) The authors of a recent work, Ref. 19) point out that their simulation needs more data to distinguish between a second order phase transition and a more exotic one for κ 1.

show abstract

Section: K Ogurementioning

confidence: 99%

“…63) The evolution equation here is obtained by assuming that the effective action has the simple form…”

Section: §1 Introductionmentioning

confidence: 99%