Meaning of terms in SU(3) gauge transformationby neorich Tags: gauge, gauge transformation, meaning, strong, su(3), terms, transformation 

#1
Nov2513, 04:36 AM

P: 21

Hi All,
I'm working through the theory of the strong interaction and I roughly follow it. However I have some questions about the meaning of the terms. The book I use gives the gauge transformation as: [itex]\psi \rightarrow e^{i \lambda . a(x)} \psi[/itex] First question ... What are the [itex]a(x)[/itex] terms. My book tells me they are real numbers, but that begs two further questions ... if they are real numbers, then what do they represent? And if they are real numbers then the product [itex]\lambda.a(x)[/itex] is a matrix since the [itex]\lambda[/itex]s are matrices, so we have the exponential function raised to the power of a matrix? What does this mean? Thank for any help provided Regards neorich 



#2
Nov2513, 06:54 AM

Sci Advisor
P: 1,548




Register to reply 
Related Discussions  
Coulomb Gauge and Gauge Transformation  General Physics  1  
What is the meaning of the local gauge transformation exactly??  High Energy, Nuclear, Particle Physics  10  
Coulomb Gauge vs. Lorentz Gauge transformation  Classical Physics  4  
How do you interpret quadratic terms in the gauge field in a Lagrangian?  High Energy, Nuclear, Particle Physics  2  
Are all quadratic terms in gauge fields necessarily mass terms?  Quantum Physics  0 