Path-integral bosonization for massive fermion models in two dimensions

1986 ◽  
Vol 33 (4) ◽  
pp. 1195-1198 ◽  
Author(s):  
Luiz Carlos L. Botelho
Keyword(s):  
Path Integral ◽  
Two Dimensions ◽  
Massive Fermion

scholarly journals A PATH-INTEGRAL APPROACH FOR BOSONIC EFFECTIVE THEORIES FOR FERMION FIELDS IN FOUR AND THREE DIMENSIONS

2000 ◽  
Vol 15 (05) ◽  
pp. 755-770 ◽  
Author(s):  
LUIZ C. L. BOTELHO
Keyword(s):  
Path Integral ◽  
Infrared Region ◽  
Three Dimensions ◽  
Integral Approach ◽  
Ultraviolet Region ◽  
Fermion Field ◽  
Massive Fermion ◽  
Bosonic Field ◽  
Fermion Fields ◽  
Effective Theories

We study four-dimensional effective bosonic field theories for (A) massive fermion field in the infrared region and (B) massive fermion in the ultraviolet region by using an appropriate fermion path integral chiral variable change and (C) Polyakov's Fermi–Bose transmutation in the 3D-Abelian Thirring model and its triviality as a quantum field theory.

scholarly journals PATH INTEGRAL REPRESENTATION FOR INTERFACE STATES OF THE ANISOTROPIC HEISENBERG MODEL

2000 ◽  
Vol 12 (10) ◽  
pp. 1325-1344 ◽  
Author(s):  
OSCAR BOLINA ◽  
PIERLUIGI CONTUCCI ◽  
BRUNO NACHTERGAELE
Keyword(s):  
Integral Representation ◽  
Path Integral ◽  
Two Dimensions ◽  
Integral Model ◽  
Partition Functions ◽  
Translation Invariant ◽  
Xxz Model ◽  
Path Integral Representation ◽  
Ferromagnetic Chain ◽  
The One

We develop a geometric representation for the ground state of the spin-1/2 quantum XXZ ferromagnetic chain in terms of suitably weighted random walks in a two-dimensional lattice. The path integral model so obtained admits a genuine classical statistical mechanics interpretation with a translation invariant Hamiltonian. This new representation is used to study the interface ground states of the XXZ model. We prove that the probability of having a number of down spins in the up phase decays exponentially with the sum of their distances to the interface plus the square of the number of down spins. As an application of this bound, we prove that the total third component of the spin in a large interval of even length centered on the interface does not fluctuate, i.e. has zero variance. We also show how to construct a path integral representation in higher dimensions and obtain a reduction formula for the partition functions in two dimensions in terms of the partition function of the one-dimensional model.

Path-integral formulation of chiral invariant fermion models in two dimensions

1982 ◽  
Vol 208 (1) ◽  
pp. 159-181 ◽  
Author(s):  
K. Furuya ◽  
R.E.Gamboa Saraví ◽  
F.A. Schaposnik
Keyword(s):  
Path Integral ◽  
Two Dimensions ◽  
Integral Formulation ◽  
Path Integral Formulation

scholarly journals ON THE LANDAU-GINZBURG DESCRIPTION OF N=2 MINIMAL MODELS

1994 ◽  
Vol 09 (27) ◽  
pp. 4783-4800 ◽  
Author(s):  
EDWARD WITTEN
Keyword(s):  
Boundary Conditions ◽  
Path Integral ◽  
Critical Points ◽  
Two Dimensions ◽  
Superconformal Algebra ◽  
Minimal Models ◽  
Low Levels ◽  
Twisted Boundary Conditions

The conjecture that N=2 minimal models in two dimensions are critical points of a superrenormalizable Landau-Ginzburg model can be tested by computing the path integral of the Landau-Ginzburg model with certain twisted boundary conditions. This leads to simple expressions for certain characters of the N=2 models which can be verified at least at low levels. An N=2 superconformal algebra can in fact be found directly in the noncritical Landau-Ginzburg system, giving further support for the conjecture.

The tangled web of agency

2018 ◽  
Vol 41 ◽  
Author(s):  
Alain Pe-Curto ◽  
Julien A. Deonna ◽  
David Sander
Keyword(s):  
Two Dimensions ◽  
Bad Company

AbstractWe characterize Doris's anti-reflectivist, collaborativist, valuational theory along two dimensions. The first dimension is socialentanglement, according to which cognition, agency, and selves are socially embedded. The second dimension isdisentanglement, the valuational element of the theory that licenses the anchoring of agency and responsibility in distinct actors. We then present an issue for the account: theproblem of bad company.

Sign in / Sign up

Export Citation Format

Share Document