The Three Dimensional Thirring Model for Small N_f

L. Del Debbio; S. hands; J. mehegan

doi:10.1016/S0550-3213(97)00435-5

The Three Dimensional Thirring Model for Small N_f

L. Del Debbio
, S. hands
, J. mehegan

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N_f=2 and N_f=4, while no fit is found for N_f=6, suggesting there is a critical number N_fc

Original language	English
Pages (from-to)	269–308
Journal	Nuclear physics b
Volume	502
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00435-5
Publication status	Published - 30 Jan 1997

Keywords / Materials (for Non-textual outputs)

hep-lat
hep-th
Four-Fermi
Monte Carlo simulation
Dynamical fermions
Chiral symmetry breaking
Renormalisation group fixed point

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10.1016/S0550-3213(97)00435-5

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http://www.sciencedirect.com/science/article/pii/S0550321397004355

Cite this

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title = "The Three Dimensional Thirring Model for Small N\_f",

abstract = "We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N\_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N\_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N\_f=2 and N\_f=4, while no fit is found for N\_f=6, suggesting there is a critical number N\_fc",

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AU - Del Debbio, L.

AU - hands, S.

AU - mehegan, J.

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PY - 1997/1/30

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N2 - We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N_f=2 and N_f=4, while no fit is found for N_f=6, suggesting there is a critical number N_fc

AB - We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N_f=2 and N_f=4, while no fit is found for N_f=6, suggesting there is a critical number N_fc

KW - hep-lat

KW - hep-th

KW - Four-Fermi

KW - Monte Carlo simulation

KW - Dynamical fermions

KW - Chiral symmetry breaking

KW - Renormalisation group fixed point

U2 - 10.1016/S0550-3213(97)00435-5

DO - 10.1016/S0550-3213(97)00435-5

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SP - 269

EP - 308

JO - Nuclear physics b

JF - Nuclear physics b

IS - 1-2

ER -

The Three Dimensional Thirring Model for Small N_f

Abstract

Keywords / Materials (for Non-textual outputs)

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