The use of computers in high energy physics experiments

Abstract

An introductory description is given of the nature of high energy physics experiments and of the characteristics of the detectors employed; the main uses of computers in this field are briefly outlined. A more detailed review is made of the r61e of computers in film measurement and data taking methods, indicating the limitations set by present computing techniques and some future trends to be expected.

One-loop divergences of linear gravity with torsion terms

“…Let us consider the second case: the theory possessing the projective invariance (the condition (6) is fulfilled). In this case, the propagator F −1α µ βσ νλ of the quantum field γ σ µν does not exist because of the projective invariance of the effective Lagrangian (13).…”

“…The theory based on the second set of variables is called the affine gauge gravitational theory with the structure gauge group GA(4, R) [13,14]. The strength tensor of the theory is the curvature tensorR σ λµν (Γ) defined as:…”

Gauge Theory of Gravity

“…As already mentioned, the metric (tetrad) field is introduced in the gauge theory of gravity by specifying the Lorentz structure. The subbundle L h X of the frame bundle LX with the structure group L, where h is a global section of quotient bundle (5), is called the Lorentz structure on the space-time manifold X.…”

“…This spin structure is unique and has the following property [29]- [31]. For any global section h of the bundle Σ → X given by (5), the restriction of principal bundle (17) to h(X) ⊂ Σ is isomorphic to the principal bundle P h given by (3) with the structure group L s . Therefore, spin structure (18) is said to be universal.…”