scholarly journals Hard thermal loops and beyond in the finite temperature world-line formulation of QED

2001 ◽  
Vol 63 (12) ◽  
Author(s):  
R. Venugopalan ◽  
J. Wirstam
2001 ◽  
Vol 16 (07) ◽  
pp. 1249-1259 ◽  
Author(s):  
D. METAXAS ◽  
V. P. NAIR

We construct plasmon creation and annihilation operators for Yang–Mills theory at finite temperature. This provides a starting point for perturbation theory with resummation of hard thermal loops in a Hamiltonian framework.


1997 ◽  
Vol 12 (20) ◽  
pp. 3587-3607 ◽  
Author(s):  
Hirohumi Sawayanagi

The Lagrangian of (1 + 1)-dimensional massive vector fields is studied. Since this system has second class constraints, the method of Batalin–Fradkin, which introduces new fields to convert second class constraints into first class ones, is applied in an extended manner. Instead of the usual treatment, which uses the Stueckelberg field as a new field, we can use a pseudoscalar field. We will show there are at least two ways to introduce a pseudoscalar. At the quantum level, one way leads to the system that is equivalent to the original system, and the other way gives an inequivalent system. The relation of these two ways is clarified. As an application of the latter way, we consider QCD at finite temperature and the gluonic effective action for hard thermal loops is constructed.


Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan

This chapter discusses the kinematics of point particles undergoing any type of motion. It introduces the concept of proper time—the geometric representation of the time measured by an accelerated clock. It also describes a world line, which represents the motion of a material point or point particle P, that is, an object whose spatial extent and internal structure can be ignored. The chapter then considers the interpretation of the curvilinear abscissa, which by definition measures the length of the world line L representing the motion of the point particle P. Next, the chapter discusses a mathematical result popularized by Paul Langevin in the 1920s, the so-called ‘Langevin twins’ which revealed a paradoxical result. Finally, the transformation of velocities and accelerations is discussed.


2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Alan A. Dzhioev ◽  
K. Langanke ◽  
G. Martínez-Pinedo ◽  
A. I. Vdovin ◽  
Ch. Stoyanov

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