Three dimensional four-fermion models—A Monte Carlo study | Zendy

Stavros Christofi | Zendy; Costas Strouthos | Zendy

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Three dimensional four-fermion models—A Monte Carlo study

Author(s) -

Stavros Christofi,

Costas Strouthos

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/05/088

Subject(s) - renormalization group , monte carlo method , physics , statistical physics , scaling , critical exponent , fermion , homogeneous space , phase transition , critical point (mathematics) , hybrid monte carlo , coupling (piping) , fixed point , renormalization , mathematical physics , quantum mechanics , mathematics , markov chain monte carlo , mathematical analysis , materials science , geometry , statistics , metallurgy

We present results from numerical simulations of three different 3dfour-fermion models that exhibit Z_2, U(1), and SU(2) x SU(2) chiralsymmetries, respectively. We performed the simulations by using the hybridMonte Carlo algorithm. We employed finite size scaling methods on latticesranging from 8^3 to 40^3 to study the properties of the second order chiralphase transition in each model. The corresponding critical coupling defines anultraviolet fixed point of the renormalization group. In our high precisionsimulations, we detected next-to-leading order corrections for various criticalexponents and we found them to be in good agreement with existing analyticallarge-N_f calculations.Comment: 15 pages, 7 figures, and 2 table

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