Finite temperature quantum field theory with impurities

Mintchev, Mihail; Sorba, P.

doi:10.1088/1742-5468/2004/07/p07001

Cited by 14 publications

(43 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown in previous work ( [53], [28], [31]) that the bound states generate new quantum degrees of freedom, which have a non-trivial contribution to the correlation function (3.41). The key point is that this contribution depends on the space-time coordinates only through the combinations t 12 and x 12 .…”

Section: Remarksmentioning

confidence: 94%

Non-equilibrium steady states of quantum systems on star graphs

Mintchev¹

2011

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each edge of the graph. Time reversal invariance is spontaneously broken. We study in this general framework the transport properties of the Schrödinger and the Dirac systems on a star graph, modeling a quantum wire junction. The interaction, which drives the system away from equilibrium, is localized in the vertex of the graph. All point-like vertex interactions, giving rise to self-adjoint Hamiltonians possibly involving the minimal coupling to a static electromagnetic field in the ambient space, are considered. In this context we compute the exact electric steady current and the nonequilibrium charge density. We investigate also the heat transport and derive the Casimir energy density away from equilibrium. The appearance of Friedel type oscillations of the charge and energy densities along the edges of the graph is established. We focus finally on the noise power and discuss the non-trivial impact of the point-like interactions on the noise.

show abstract

Section: Remarksmentioning

confidence: 94%

Non-equilibrium steady states of quantum systems on star graphs

Mintchev¹

2011

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…In this paper we mostly concentrate on the case when impurity bound states are absent. This case is characterized [23] by the following additional constraints on the parameters:…”

Section: General Settingmentioning

confidence: 99%

“…For this reason RT algebras represent a natural and universal tool for studying QFT with defects [16,17,23,24] and it is not at all surprising that they appear also in the process of bosonization with impurities. The derivation of the correlation functions of {ϕ , ϕ} in the Fock representation [13] of the RT algebra (2.11-2.13) is straightforward.…”

Section: General Settingmentioning

confidence: 99%

“…for |t 12 | < |x 1 − x 2 | and x 1 x 2 > 0, provided that 23) which is imposed to the end of this section. The next step is to construct the quantum currents (3.18).…”

Section: Vertex Operators In Presence Of Defectsmentioning

confidence: 99%

“…The main goal of the present paper is to extend the framework of bosonization to the case when defects (impurities) are present in space. The subject of defects attracts recently much attention in different areas of quantum physics, including quantum mechanics [7]- [9], integrable systems [10]- [20], conformal and finite temperature quantum field theory [21]- [23] and string theory, where branes can be considered as purely reflecting defects. Some interesting studies [25,26] of both reflecting and transmitting branes (permeable conformal walls) are also worth mentioning.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Bosonization and Vertex Algebras with Defects

Mintchev

Sorba²

2006

Ann. Henri Poincaré

View full text Add to dashboard Cite

The method of bosonization is extended to the case when a dissipationless point-like defect is present in space-time. Introducing the chiral components of a massless scalar field, interacting with the defect in two dimensions, we construct the associated vertex operators. The main features of the corresponding vertex algebra are established. As an application of this framework we solve the massless Thirring model with defect. We also construct the vertex representation of the sl(2) Kac-Moody algebra, describing the complex interplay between the left and right sectors due to the interaction with the defect. The Sugawara form of the energy-momentum tensor is also explored.

show abstract

Quantum field theories and critical phenomena on defects

2005

View full text Add to dashboard Cite

We construct and investigate quantum fields induced on a d-dimensional dissipationless defect by bulk fields propagating in a d + 1-dimensional space. All interactions are localized on the defect. We derive a unitary non-canonical quantum field theory on the defect, which is analyzed both in the continuum and on the lattice. The universal critical behavior of the underlying system is determined. It turns out that the O(N )-symmetric ϕ 4 theory, induced on the defect by massless bulk fields, belongs to the universality class of particular d-dimensional spin models with long-range interactions. On the other hand, in the presence of bulk mass the critical behavior crossovers to the one of d-dimensional spin models with short-range interactions.

show abstract

Finite temperature quantum field theory with impurities

Cited by 14 publications

References 25 publications

Non-equilibrium steady states of quantum systems on star graphs

Non-equilibrium steady states of quantum systems on star graphs

Bosonization and Vertex Algebras with Defects

Quantum field theories and critical phenomena on defects

Contact Info

Product

Resources

About