Heaviside transform of the effective potential in the Gross-Neveu model
نویسنده
چکیده
A fresh study on the perturbative expansion is presented with the help of Heaviside transform with respect to the mass. We apply Heaviside transform to the effective potential in the Gross-Neveu model and carry out perturbative approximation of the massless potential by dealing with the resulting Heaviside function. We find that accurate values of the dynamical mass can be obtained from the Heaviside function already at finite orders where only finite number of diagrams are incorporated.
منابع مشابه
Heaviside transform of the e ective potential in the Gross - Neveu model
Unconventional way of handling the perturbative series is presented with the help of Heaviside transformation with respect to the mass. We apply Heaviside transform to the e ective potential in the massive Gross-Neveu model and carry out perturbative approximation of the massless potential by dealing with the resulting Heaviside function. We nd that accurate values of the dynamical mass can be ...
متن کاملThe Gross-Neveu Model with Chemical Potential; An Effective Theory for Solitonic-Metallic Phase Transition in Polyacetylene?
The Gross-Neveu model with chemical potential is investigated as a lowenergy effective theory of polyacetylene. In particular, we focus on the abrupt change in the features of electric conductivity such as sharp rise in the Pauli paramagnetism at dopant concentration of about 6%. We will try to explain it by the finite density phase transition in the Gross-Neveu model. The thermodynamic Bethe a...
متن کاملThe Phase Structure of the Gross-Neveu Model with Thirring Interaction at the Next to Leading Order of 1=N Expansion
We study the critical behavior of the D (2 < D < 4) dimensional Gross-Neveu model with a Thirring interaction, where a vector-vector type four-fermi interaction is on equal terms with a scalar-scalar type one. By using inversion method up to the next-to-leading order of 1=N expansion, we construct a gauge invariant e ective potential. We show the existence of the chiral order phase transition, ...
متن کاملCritical exponents of the Gross-Neveu model from the effective average action.
The phase transition of the Gross-Neveu model with N fermions is investigated by means of a nonperturbative evolution equation for the scale dependence of the effective average action. The critical exponents and scaling amplitudes are calculated for various values of N in d = 3. It is also explicitly verified that the Neveu-Yukawa model belongs to the same universality class as the Gross-Neveu ...
متن کاملOn the Effective Potential for Composite Operators in the Gross–Neveu and O(N) Models
In the Gross–Neveu (GN) model we calculate the effective potential for the local composite operator ψ̄ψ and show that it is a useful object for studing dynamical symmetry breaking. For the auxiliary field method, we establish that the auxiliary field describes nontrivial dynamics of the model only if it is an interpolating field for some physical particles. In the O(N) model we show that if the ...
متن کامل