Are microcanonical algorithms still used in lattice QCD?

Arsenic&Lace
Messages
533
Reaction score
37
I stumbled across a paper which stated that the relation between statistical mechanics and field theory is exploited to recast lattice QCD in terms of a "microcanonical ensemble" of sorts. I was curious to know if this was still a commonly used technique.

The paper in question:
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.49.613
 
Physics news on Phys.org
The standard way of doing lattice QCD calculations is to exploit the relation between statistical mechanics to express QCD expectation values as expectation values in a canonical ensemble. The paper is modifying this to use a microcanonical ensemble instead of a canonical one. AFAIK the modified technique described in the paper has never been widely used. I suspect it has some disadvantages compared to the usual method. For example the canonical ensemble technique is tolerant to the fact that errors in the numerical integration of the equations of motion produce small violations of energy conservation. But these errors seem harder to deal with in a microcanonical approach.
 
Is there something profound about this isomorphism, or is just a convenient coincidence?
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...

Similar threads

Replies
5
Views
2K
Replies
1
Views
2K
Replies
0
Views
977
Replies
30
Views
3K
Replies
20
Views
3K
Replies
7
Views
2K
Back
Top