Find your perfect holiday reading
Translation Group and Particle Representations in Quantum Field Theory - Lecture Notes in Physics Monographs 40 (Paperback)
  • Translation Group and Particle Representations in Quantum Field Theory - Lecture Notes in Physics Monographs 40 (Paperback)
zoom

Translation Group and Particle Representations in Quantum Field Theory - Lecture Notes in Physics Monographs 40 (Paperback)

(author)
£79.99
Paperback 136 Pages / Published: 18/04/2014
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
At the time I learned quantum field theory it was considered a folk theo- rem that it is easy to construct field theories fulfilling either the locality or the spectrum condition. The construction of an example for the latter case is particularly easy. Take for instance an irreducible representation of the Poincare group with positive energy, and as an algebra of observables all compact operators in that representation space. This algebra of observables is even an asymptotically Abelian algebra. Since it has only a single repre- sentation - except for multiples of this one - it is hardly possible to replace locality in order to obtain a theory with a reasonable physical structure. This example shows that it is not sufficient to replace locality by asymptotic Abelian-ness. The construction of a theory fulfilling locality without a pos- itive energy representation was first done by Doplicher, Regge, and Singer [DRS]. However, modern investigations on the locality ideal in the algebra oftest functions, started by Alcantara and Yngvason [AY], seem to indicate that this is a general feature; this means that most of the algebras of ob- servables fulfilling the locality condition will not have representations that also fulfil the spectrum condition. This discussion shows that quantum field theory becomes a subject of interest only if both conditions are satisfied at the same time.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783662140789
Number of pages: 136
Weight: 237 g
Dimensions: 235 x 155 x 8 mm
Edition: Softcover reprint of the original 1st ed. 199

You may also be interested in...

Quantum Mind
Added to basket
£18.95
Paperback
The Quantum Age
Added to basket
£9.99
Paperback
Quantum Physics
Added to basket
How to Teach Quantum Physics to Your Dog
Added to basket
Introducing Quantum Theory
Added to basket
The Elegant Universe
Added to basket
Higgs
Added to basket
£9.99
Paperback
Lectures on Quantum Mechanics
Added to basket
In Search Of Schrodinger's Cat
Added to basket
£9.99   £7.99
Paperback
Computing with Quantum Cats
Added to basket

Please sign in to write a review

Your review has been submitted successfully.