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Nonlocal interaction in HQET 
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#1
May2514, 06:50 PM

P: 324

Hi everyone. I have been studying the Heavy Quark Effective Theory and at a certain point we have a Lagrangian like:
$$ \mathcal{L}=\bar h_v iD\cdot v h_v+\bar h_vi\gamma_\mu D^\mu_\perp\frac{1}{iD\cdot v+2m_Q}i\gamma_\nu D_\perp^\nu h_v. $$ [itex]h_v[/itex] is the field representing the heavy quark, [itex] v[/itex] is the velocity of the heavy quark and [itex]D_\mu[/itex] is the usual covariant derivative. I read that this Lagrangian is nonlocal but I can't understand why. Do you have any idea? 


#2
May2614, 04:57 AM

PF Gold
P: 471

Is it because you're choosing what the momentum "v" is? Therefor things are no longer technically lorentz invariant, as the theory only holds in the limit that v is "stationary". Basically you're choosing a specific POV to choose the problem.



#3
May2614, 05:25 AM

Sci Advisor
Thanks
P: 4,160




#4
May2614, 09:15 AM

P: 324

Nonlocal interaction in HQET
Great, thanks!



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