Field-theoretical approach to non-local interactions: 1D electrons and fermionic impurities

1998

J. Phys. A: Math. Gen.

We study, through path-integral methods, an extension of the massive Thirring model in which the interaction between currents is nonlocal. By examining the mass-expansion of the partition function we show that this non-local massive Thirring model is equivalent to a certain non-local extension of the sine-Gordon theory. Thus, we establish a non-local generalization of the famous Coleman's equivalence. We also discuss some possible applications of this result in the context of one-dimensional strongly correlated systems and finite-size Quantum Field Theories.

Section: Connection With a Non-local Sine-gordon Modelmentioning

confidence: 77%

Equivalent bosonic theory for the massive Thirring model with a non-local interaction

1998

J. Phys. A: Math. Gen.

“…It is also interesting to point out that the techniques we presented could be easily modified in order to study the response of the ground-state in the presence of impurities, following, for example, the lines of ref. [19].…”

Section: Discussionmentioning

confidence: 99%

Vacuum Properties of a Nonlocal Thirring-Like Model

Barci

1998

Int. J. Mod. Phys. A

We use path-integral methods to analyze the vacuum properties of a recently proposed extension of the Thirring model in which the interaction between fermionic currents is non-local. We calculate the exact ground state wave functional of the model for any bilocal potential, and also study its long-distance behavior. We show that the ground state wave functional has a general factored Jastrow form. We also find that it posess an interesting symmetry involving the interchange of density-density and current-current interactions.

“…In the above expressions φ(p), η(p) and θ(p) are the Fourier transforms of φ s (x), η s (x) and θ(x) respectively. 4 The spectrum of the spin-charge sector…”

mentioning

confidence: 99%

Nonlocal Thirring model with spin flipping interactions

Iucci

2001

Nuclear Physics B

We extend a non local and non covariant version of the Thirring model in order to describe a many-body system with spin-flipping interactions By introducing a model with two fermion species we are able to avoid the use of non abelian bosonization which is needed in a previous approach. We obtain a bosonized expression for the partition function, describing the dynamics of the collective modes of this system. By using the selfconsistent harmonic approximation we found a formula for the gap of the spin-charge excitations as functional of arbitrary electron-electron potentials.