منابع مشابه
Multi-fermion interaction models in curved spacetime
Abstract. A model with a scalar type eight-fermion interaction is investigated in curved spacetime. The ground state of the model can be obtained by observing the effective potential. Applying the Riemann normal coordinate expansion, we calculate an effective potential of the model in a weakly curved spacetime. The result is extended to models with multi-fermion interactions. We numerically sho...
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Roberto Balbinot,* Serena Fagnocchi, and Alessandro Fabbri Dipartimento di Fisica dell’Università di Bologna and INFN sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy Centro Studi e Ricerche “Enrico Fermi,” Compendio Viminale, 00184 Roma, Italy Departamento de Fisica Teorica and IFIC, Universidad de Valencia-CSIC, C. Dr. Moliner 50, 46100 Burjassot, Valencia, Spain Received 22 November ...
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The large N limit of the Gross–Neveu model is here studied on manifolds with constant curvature, at zero and finite temperature. Using the ζ–function regularization, the phase structure is investigated for arbitrary values of the coupling constant. The critical surface where the second order phase transition takes place is analitically found for both the positive and negative curvature cases. F...
متن کاملTemperature induced phase transitions in four - fermion models in curved space - time
The large N limit of the Gross–Neveu model is here studied on manifolds with constant curvature, at zero and finite temperature. Using the ζ–function regularization, the phase structure is investigated for arbitrary values of the coupling constant. The critical surface where the second order phase transition takes place is analytically found for both the positive and negative curvature cases. F...
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We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions. We relate these equations to the saddle point ap...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2013
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.88.085011