ps8 - Physics 509: Relativistic Quantum Field Theory...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Physics 509: Relativistic Quantum Field Theory Problem Set 8 Due Friday, 09 December 2011 28. Unitarity and scattering longitudinal vector states. Massive vectors have three polarization states: two transverse and one longitudinal. However, massless vectors have only transverse polarization states. Through introducing scalar degrees-of-freedom to a massless vector Lagrangian, we decouple the longitudinal modes from the transverse ones at energies large compared to the vector mass. However, when multiple self-interacting vectors are given the same mass, S-matrix elements for longitudinal vector scattering grow without bound for energies parametrically larger than the vector-mass. In this problem, we explore the tension between massive vectors and the unitarity of the S-matrix. a) Begin with a massive photon, L =- 1 4 g 2 F F + v 2 ( A A ) . (1) The mass term is not invariant under local gauge transformation A A + ( x )....
View Full Document

This note was uploaded on 02/02/2012 for the course PHY 509 at Princeton.

Page1 / 2

ps8 - Physics 509: Relativistic Quantum Field Theory...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online