- #1
istaslis
- 1
- 0
I have one question, which can be very simple, but i can't answer it.
I have Wilson action for ordinary SU(2) gauge field. In all of the books I had read, the proof, that calculations in lattice theory is true - is equality the Wilson action in continuum limit to the continuum action. We use that exponents in [tex]U_\mu=\exp(iaA_\mu)[/tex] are small (because a is the vanishing lattice spacing) for uniting them into one and so on. And we can derive that [tex] S_W=\sum{1-U_{\mu \nu}} \rightarrow \sum{F_{ \mu \nu} F_{ \mu \nu } } [/tex] . But in real experiments I see that exponents are not small! And I am at a loss how we can use it and why is this procedure true after calculations.
Thank you!
I have Wilson action for ordinary SU(2) gauge field. In all of the books I had read, the proof, that calculations in lattice theory is true - is equality the Wilson action in continuum limit to the continuum action. We use that exponents in [tex]U_\mu=\exp(iaA_\mu)[/tex] are small (because a is the vanishing lattice spacing) for uniting them into one and so on. And we can derive that [tex] S_W=\sum{1-U_{\mu \nu}} \rightarrow \sum{F_{ \mu \nu} F_{ \mu \nu } } [/tex] . But in real experiments I see that exponents are not small! And I am at a loss how we can use it and why is this procedure true after calculations.
Thank you!