Free massless scalar field in two-dimensional space-time: Revisited

1980 ◽  
Vol 4 (1) ◽  
pp. 17-25 ◽  
Author(s):  
Noboru Nakanishi
Keyword(s):  
Scalar Field ◽  
Dimensional Space ◽  
Space Time ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Two Dimensional ◽  
Dimensional Space Time

Neutrino stress tensor regularization in two-dimensional space-time

1977 ◽  
Vol 356 (1685) ◽  
pp. 259-268 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Scalar Case ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Two Dimensional ◽  
Massless Spin ◽  
Dimensional Space Time ◽  
Point Splitting

The method of covariant point-splitting is used to regularize the stress tensor for a massless spin 1/2 (neutrino) quantum field in an arbitrary two-dimensional space-time. A thermodynamic argument is used as a consistency check. The result shows that the physical part of the stress tensor is identical with that of the massless scalar field (in the absence of Casimir-type terms) even though the formally divergent expression is equal to the negative of the scalar case.

Quantum vacuum stress without regularization in two-dimensional space-time

1977 ◽  
Vol 354 (1679) ◽  
pp. 529-532 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Massless Scalar ◽  
Two Dimensional ◽  
Quantum Vacuum ◽  
Curved Space ◽  
Spinor Fields ◽  
Dimensional Space Time ◽  
Point Splitting

It is proved that there is a unique conserved stress tensor possessing a local trace, in the two-dimensional quantum theory of massless scalar and spinor fields propagating in curved space-time. No regularization is therefore required to obtain explicit expressions for the stress tensor. The results agree exactly with earlier expressions obtained from point-splitting regularization.

scholarly journals ON KALUZA–KLEIN SPACE–TIME IN EINSTEIN–GAUSS–BONNET GRAVITY

2009 ◽  
Vol 18 (04) ◽  
pp. 599-611 ◽  
Author(s):  
ALFRED MOLINA ◽  
NARESH DADHICH
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Dimensional Space ◽  
Space Time ◽  
Two Dimensional ◽  
Bonnet Gravity ◽  
Space Of Constant Curvature ◽  
Dimensional Black Hole ◽  
Dimensional Space Time ◽  
Kaluza Klein

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

De la combinatoire du modèle de l'échiquier de Feynman et des fonctions spéciales

1984 ◽  
Vol 62 (7) ◽  
pp. 632-638
Author(s):  
J. G. Williams
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Hypergeometric Series ◽  
Jacobi Polynomials ◽  
Dimensional Space ◽  
Space Time ◽  
Continuous Limit ◽  
Two Dimensional ◽  
Dimensional Space Time

The exact solution of the Feynman checkerboard model is given both in terms of the hypergeometric series and in terms of Jacobi polynomials. It is shown how this leads, in the continuous limit, to the Dirac equation in two-dimensional space-time.

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