595 research outputs found

    Confined two-dimensional fermions at finite density

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    We introduce the chemical potential in a system of two-dimensional massless fermions, confined to a finite region, by imposing twisted boundary conditions in the Euclidean time direction. We explore in this simple model the application of functional techniques which could be used in more complicated situations.Comment: 15 pages, LaTe

    Colgajo libre córtico-perióstico de la arteria genicular descendente en el tratamiento de la seudoartritis distal de tibia

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    Presentamos un caso de un varón de 35 años con pseudoartrosis aséptica de tibia distal con escaso defecto óseo, intervenido previamente mediante recambio del material de osteosíntesis e injerto de cresta iliaca, que fracasó. Tras estudio de las diferentes opciones de tratamiento, se le propuso estabilizar el foco mediante enclavado endomedular y aumentar la capacidad osteogénica con un colgajo córtico-perióstico de la arteria genicular descendente, según la técnica de Sakai. Discusión: El manejo terapéutico de la pseudoartrosis distal de tibia no está del todo resuelto. Cuando otras opciones no han sido efectivas, el clavo endomedular asociado al colgajo libre córtico-perióstico de la arteria genicular descendente puede ser una opción válida para el tratamiento. Esta técnica quirúrgica supone un trabajo coordinado entre los especialistas en traumatología y cirugía plástica.We present a case of 35 years old man presented with aseptic distal tibial nonunion without bone defect. Previous unsuccessful surgical attempt, consisting on revision of the internal fixation and iliac crest bone grafting, was performed. After studying the different treatment options, we suggested him to carry out an endomedular nail stabilization of the nonunion site in combination with a descending genicular corticoperiosteal free flap to provide osteogenetic enhancement, as described by Sakai. Discussion: The treatment protocol of the distal tibial nonunion still remains controversial. When other surgical attempts are unsuccessful, the combination of endomedular nailing and descending genicular corticoperiosteal free flap, may be useful. This surgical technique may require a coordinated work between orthopaedic and plastic surgeons

    Finite density and temperature in hybrid bag models

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    We introduce the chemical potential in a system of two-flavored massless fermions in a chiral bag by imposing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving the Green function of the boundary value problem, which is studied analytically. Numerical evaluations for the fermionic number are presented.Comment: 19 pages, 4 figure

    Dirac fields in the background of a magnetic flux string and spectral boundary conditions

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    We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shrinked to zero. Thus, we obtain a behaviour of eigenfunctions which is compatible with the self-adjointness of the radial Hamiltonian and the invariance under integer translations of the reduced flux. After confining the theory to a finite region, we check the consistency with the index theorem, and evaluate its vacuum fermionic number and Casimir energy.Comment: 9 pages, 1 figure Two references added To be published in International Journal of Modern Physics

    Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions

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    Quadratic, second-order, non-local actions for tensor gauge fields transforming in arbitrary irreducible representations of the general linear group in D-dimensional Minkowski space are explicitly written in a compact form by making use of Levi-Civita tensors. The field equations derived from these actions ensure the propagation of the correct massless physical degrees of freedom and are shown to be equivalent to non-Lagrangian local field equations proposed previously. Moreover, these actions allow a frame-like reformulation a la MacDowell-Mansouri, without any trace constraint in the tangent indices.Comment: LaTeX, 53 pages, no figure. Accepted for publication in Communications in Mathematical Physics. Local Fierz-Pauli programme achieved by completing the analysis of Labastid

    Maxwell-like Lagrangians for higher spins

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    We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to tensors of arbitrary mixed-symmetry type. Irreducible and traceless fields produce single-particle actions, while whenever trace constraints can be dispensed with the resulting Lagrangians display the same reducible, multi-particle spectra as those emerging from the tensionless limit of free open-string field theory. For all explored options the corresponding kinetic operators take essentially the same form as in the spin-one, Maxwell case.Comment: 77 pages, revised version. Erroneous interpretation and proof of the gauge-fixing procedure for mixed-symmetry fields corrected. As a consequence, the mixed-symmetry, one-particle Lagrangians are to be complemented with conditions on the divergences of the fields; all other conclusions unchanged. Additional minor changes including references added. To appear in JHE
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