PS2 - 253a/Schwartz Due Problem Set 2 Problems marked with...

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 Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 253a/Schwartz Due September 21, 2010 Problem Set 2 Problems marked with a * are optional, but strongly recommended. 1. Dimensional analysis. a) A photon coupled to a complex scalar field in D-dimensions has action S = integraldisplay d D x bracketleftbigg- 1 4 F μν 2- φ ⋆ square φ + gA μ φ ⋆ ∂ μ φ + λφ 3 + bracketrightbigg (1) where F μν = ( ∂ μ A ν- ∂ ν A μ ) and square = ∂ μ ∂ μ as always but now μ = 0 , 1 , , D- 1 . What is are the mass dimensions of A μ , φ, g and λ (as functions of D )? b) An interaction is said to be renormalizable if its coupling constant is dimensionless. In what dimension D is the electromagnetic interaction renormalizable? How about the φ 3 interaction? 2. Is the transformation Y : ( t, x, y, z ) → ( t, x,- y, z ) a Lorentz transformation? If so, why isn’t it consid- ered with P and T as a discrete Lorentz transformation? If not, why not?...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

PS2 - 253a/Schwartz Due Problem Set 2 Problems marked with...

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