Erratum and addendum to “Thermofield dynamics and Casimir effect for fermions” [Ann. Phys. 317 (2005) 220]

Queiroz, H.; Silva, J.C. da; Khanna, F. C.; Malbouisson, J. M. C.; Revzen, M.; Santana, A. E.

doi:10.1016/j.aop.2005.11.016

Cited by 10 publications

(7 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An approach describing systems in compactified spaces is derived as a generalization of both the Matsubara formalism, involving the Fourier series, [6,17,18,19] and TFD [20]. There are numerous applications of such a formalism, including the Casimir effect for the electromagnetic and fermion fields within a box [20,21], the λφ 4 model describing the order parameter for the Ginsburg-Landau theory for superconductors [22], and the Gross-Neveu model as an effective approach for QCD [23,24]. The extension of this method to the Fourier integral representation is important to address many other problems in a topology Γ d D that are of interest in different areas, such as cosmology, condensed matter and particle physics [25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43].…”

Section: Introductionmentioning

confidence: 99%

Quantum fields in toroidal topology

Khanna

Malbouisson

et al. 2011

Annals of Physics

Self Cite

View full text Add to dashboard Cite

The standard representation of c*-algebra is used to describe fields in compactified space-time dimensions characterized by topologies of the type $ \Gamma_{D}^{d}=(\mathbb{S}^{1})^{d}\times \mathbb{M}^{D-d}$. The modular operator is generalized to introduce representations of isometry groups. The Poincar\'{e} symmetry is analyzed and then we construct the modular representation by using linear transformations in the field modes, similar to the Bogoliubov transformation. This provides a mechanism for compactification of the Minkowski space-time, that follows as a generalization of the Fourier-integral representation of the propagator at finite temperature. An important result is that the $2\times2$ representation of the real time formalism is not needed. The end result on calculating observables is described as a condensate in the ground state. We analyze initially the free Klein-Gordon and Dirac fields, and then formulate non-abelian gauge theories in $\Gamma_{D}^{d}$. Using the S-matrix, the decay of particles is calculated in order to show the effect of the compactification.Comment: 34 pages, LATEX, no figure

show abstract

Section: Introductionmentioning

confidence: 99%

Quantum fields in toroidal topology

Khanna

Malbouisson

et al. 2011

Annals of Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…In order to obtained the thermal boundary states, we have generalized the TFD formalism to include the zero-mode sector of the closed strings in T d−p−1 and we have used this generalization to obtain the entropy and the free energy of the closed string at finite temperature. The generalization of the TFD formalism is an interesting result by itself, since it extends the method of the canonical thermalization to non-trivial boundary conditions and generalizes the previous studies from [62,63] that establish the form of the Bogoliubov operator for a scalar and spinor field on T d−p−1 but without the winding conditions which are specific to the bosonic string fields.…”

Section: Discussionmentioning

confidence: 60%

Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach

Nardi,

Santos,

Vancea

2010

Preprint

View full text Add to dashboard Cite

We construct the D-brane states at finite temperature in thermal equilibrium in the R 1,p × T d−p−1 spacetime in the presence of cold (unthermalized) Kalb-Ramond (KR) and U (1) gauge potential background. To this end, we first generalize the Thermo Field Dynamics (TFD) to wrapped closed strings. This generalization is consistent with the spatial translation invariance on the string world-sheet. Next, we determine the thermal string vacuum and define the entropy operator. From these data we calculate the entropy of the closed string and the free energy. Finally, we define the thermal D-brane states in R 1,p × T d−p−1 in the presence of cold constant KR field and U (1) gauge potential as the boundary states of the thermal closed string and compute their entropy.

show abstract

“…Similar ideas have been applied in different physical situations: for spontaneous symmetry breaking in the compactified φ 4 model [7,8]; for second-order phase transitions in superconducting films, wires and grains [9]; for the Casimir effect for bosons [10] and for fermions in a box [11]. For the Gross-Neveu model, discussed in the present paper, we obtain simultaneously asymptotic freedom type of behavior and spatial confinement, for low enough temperatures.…”

Section: Introductionmentioning

confidence: 52%

Application of zeta-function techniques to the compactified Gross-Neveu model

Malbouisson¹

2007

Proceedings of Fifth International Conference on Mathematical Methods in Physics — PoS(IC2006)

View full text Add to dashboard Cite

Erratum and addendum to “Thermofield dynamics and Casimir effect for fermions” [Ann. Phys. 317 (2005) 220]

Cited by 10 publications

References 1 publication

Quantum fields in toroidal topology

Quantum fields in toroidal topology

Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach

Application of zeta-function techniques to the compactified Gross-Neveu model

Contact Info

Product

Resources

About