Effective potential for composite operators
نویسندگان
چکیده
منابع مشابه
An Effective Potential for Composite Operators
We study the effective potential for composite operators. Introducing a source coupled to the composite operator, we define the effective potential by a Legendre transformation. We find that in three or fewer dimensions, one can use the conventionally defined renormalized operator to couple to the source. However, in four dimensions, the effective potential for the conventional renormalized com...
متن کاملThe Finite Temperature Effective Potential for Local Composite Operators
The method of the effective action for the composite operators Φ2(x) and Φ4(x) is applied to the termodynamics of the scalar quantum field with λΦ4 interaction. An expansion of the finite temperature effective potential in powers of h̄ provides successive approximations to the free energy with an effective mass and an effective coupling determined by the gap equations. The numerical results are ...
متن کاملOn the Effective Potential for Local Composite Operators
We show that the effective potential for local composite operators is a useful object in studing dynamical symmetry breaking by calculating the effective potential for the local composite operators ψ̄ψ and φ2 in the Gross– Neveu (GN) and O(N) models, respectively. Since the effective potential for local composite operators can be calculated by using the Cornwall–Jackiw– Tomboulis (CJT) effective...
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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 کاملComposite Operator Effective Potential Approach to Qed 3
The composite operator effective potential is compared with the conventional Dyson–Schwinger method as a calculational tool for (2+1)-dimensional quantum electrodynamics. It is found that when the fermion propagator ansatz is put directly into the effective potential, it reproduces exactly the usual gap equations derived in the Dyson–Schwinger approach.
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1996
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.54.1614