Higher order calculation in thermo field theory

1985 ◽  
Vol 28 (3) ◽  
pp. 395-406 ◽  
Author(s):  
Y. Fujimoto ◽  
R. Grigjanis
2000 ◽  
Vol 473 (1-2) ◽  
pp. 6-12 ◽  
Author(s):  
Chang Ho Hyun ◽  
Tae-Sun Park ◽  
Dong-Pil Min

1989 ◽  
Vol 04 (21) ◽  
pp. 2063-2071
Author(s):  
GEORGE SIOPSIS

It is shown that the contact term discovered by Wendt is sufficient to ensure finiteness of all tree-level scattering amplitudes in Witten’s field theory of open superstrings. Its inclusion in the action also leads to a gauge-invariant theory. Thus, no additional higher-order counterterms in the action are needed.


1966 ◽  
Vol 5 (2) ◽  
pp. 190C-190C
Author(s):  
Kiyoji Uehara ◽  
Koichi Shimoda

2005 ◽  
Vol 20 (32) ◽  
pp. 7633-7644 ◽  
Author(s):  
HOSSEIN YAVARTANOO

We study dynamics of a D3-brane propagating in the vicinity of k coincident NS5 branes. We show that when gs is small, there exists a regime in which dynamics of the D-brane is governed by Dirac–Born–Infeld action while higher order derivative in the expansion cannot be neglected. This leads to a restriction on how fast scalar field may roll. We analyze the motion of a rolling scalar field in this regime, and extend the analysis to cosmological systems obtained by coupling this type of field theory to four-dimensional gravity. It also leads to some FRW cosmologies, some of which are related to those obtained with tachyon matter.


2022 ◽  
Vol 9 (2) ◽  
pp. 136-141
Author(s):  
Amer D. Al-Oqali ◽  

Lagrangians which depend on higher-order derivatives appear frequently in many areas of physics. In this paper, we reformulate Podolsky's Lagrangian in fractional form using left-right Riemann-Liouville fractional derivatives. The equations of motion are obtained using the fractional Euler Lagrange equation. In addition, the energy stress tensor and the Hamiltonian are obtained in fractional form from the Lagrangian density. The resulting equations are very similar to those found in classical field theory.


1983 ◽  
Vol 38 (12) ◽  
pp. 1293-1295
Author(s):  
D. Großer

Abstract A field theory which is based entirely on fermion fields is non-renormalizable if the kinetic energy contains only derivatives of first order and therefore higher derivatives have to be included. Such field theories may be useful for describing preons and their interaction. In this note we show that a spinor field which satisfies a higher order field equation with an arbitrary nonlinear selfinteraction can be written as a sum of fields which satisfy first order equations.


Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1104 ◽  
Author(s):  
Markus Lazar ◽  
Jakob Leck

In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical Maxwell electrodynamics whose Lagrangian is both Lorentz and U ( 1 ) -gauge invariant. Second gradient electromagnetostatics is a gradient field theory with up to second-order derivatives of the electromagnetic field strengths in the Lagrangian. Moreover, it possesses a weak nonlocality in space and gives a regularization based on higher-order partial differential equations. From the group theoretical point of view, in second gradient electromagnetostatics the (isotropic) constitutive relations involve an invariant scalar differential operator of fourth order in addition to scalar constitutive parameters. We investigate the classical static problems of an electric point charge, and electric and magnetic dipoles in the framework of second gradient electromagnetostatics, and we show that all the electromagnetic fields (potential, field strength, interaction energy, interaction force) are singularity-free, unlike the corresponding solutions in the classical Maxwell electromagnetism and in the Bopp–Podolsky theory. The theory of second gradient electromagnetostatics delivers a singularity-free electromagnetic field theory with weak spatial nonlocality.


1982 ◽  
Vol 25 (2) ◽  
pp. 583-586 ◽  
Author(s):  
L. C. R. Wijewardhana

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