Monte Carlo study of chiral structure: The Gross-Neveu model

Yuval Cohen, Shmuel Elitzur, Eliezer Rabinovici

Research output: Contribution to journalArticlepeer-review


The two-dimensional Gross-Neveu model is studied by Monte Carlo integration of Fermi fields. A clear transition is seen from a strong-coupling, massive, chiral symmetric phase to the weak-coupling chiral broken phase found in the continuum model. The weak-coupling behaviour of the dynamically generated scale agrees well with asymptotic freedom results.

Original languageEnglish
Pages (from-to)289-293
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number4
StatePublished - 3 Sep 1981
Externally publishedYes

Bibliographical note

Funding Information:
where N F is the number of flavors. The symmetry of this model is O(,2N)× D(2), where D is a discrete chiral symmetry. The model was solved in the large-N limit \[1 \] and was found to exhibit asymptotic freedom, discrete chiral symmetry breaking and dimensional transmutation. The particle excitations of the theory include massive fermions and their massive bosonic bound states. In passing from the continuous model to its lattice version we encounter the familiar problems associated with placing fermions on the lattice \[3\].T here are several suggestions of handling the problem \[4\],a s it is our Supported in part by the Israel Comission of Basic Research and the United States-Israel Binational Science Foundation.


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