All Questions
Tagged with quantum-chromodynamics lattice-model
8
questions with no upvoted or accepted answers
9
votes
0
answers
368
views
Lattice QCD and the 5th dimension
I was digging into the Nielsen-Ninomiya Theorem and doubler fermions, as well as solutions to these problems using Domain Wall Fermions and overlap lattice fermions, both of which make effective use ...
- 99
2
votes
0
answers
126
views
Questions on how Wilson loops relate to field & charge conservation, and lattice QFT
The path-ordered exponential from which the Wilson loop is traced is, crudely,
$$ \prod (I+ A_\alpha dx^\alpha) = \mathcal{P}\,\mathrm{exp}(i \oint A_\alpha dx^\alpha )$$
which returns a matrix $\...
- 970
1
vote
0
answers
58
views
Is is cheating to use alpha strong (instead of V_QCD) to argue that there is asymptotic freedom of QCD?
For asymptotic freedom of QCD, people give the argument that alpha_strong decreases at high energy (thus there is freedom at low distance).
But if we make the reasoning on the QCD potential, for ...
1
vote
0
answers
55
views
Obtaining the correlator of harmonic oscillator
The two point function for harmonic oscillator can be written as
$$\langle \langle x(t_1)x(t_2) \rangle \rangle =\frac{\int Dx(t) x(t_1)x(t_2) e^{-S(x)}}{\int Dx(t) e^{-S(x)}} \tag{21} \, .$$
In ...
- 185
0
votes
1
answer
119
views
How to write a naive Dirac matrix for Lattice QCD?
I'm trying to write down the naive Dirac matrix (with fermion doubling) for a LQCD simulation with one quark, for now. I initialized the $SU(3)$ gauge field and the quark field. The quak field has 4 ...
- 31
0
votes
1
answer
116
views
What are some good resources to learn about perturbative and non-perturbative approaches to QCD, for example Lattice QCD, at an introductory level?
I am writing at an introductory level about the anomalous magnetic moment of the muon and part of that is the subsequent Lattice QCD that potentially verifies the results from the experiments that ...
0
votes
0
answers
85
views
Instanton effects on condensates: (pseudo)scalars, (pseudo)vectors, tensor
I have heard that the instanton effect in quark matter causes the di-quark condensate to be Lorentz scalar. As opposed to the Lorentz scalar, there are possibilities that the condensates are Lorentz ...
- 4,336
0
votes
1
answer
125
views
How to calculate thd average of a Wilson loop in LQCD?
I'm am trying to do the excercise in page 35 from Lepage's LQCD notes: http://arxiv.org/abs/hep-lat/0506036.
I want to compute the thermal average of the Wilson loop of size $a\times a$, where $a$ is ...
- 12.5k