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Results tagged with quantum-field-theory
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user 46359
Quantum Field Theory (QFT) is the theoretical framework describing the quantisation of classical fields which allows a Lorentz-invariant formulation of quantum mechanics. QFT is used both in high energy physics as well as condensed matter physics and closely related to statistical field theory. Use this tag for many-body quantum-mechanical problems and the theory of particle physics. Don’t combine with the [quantum-mechanics] tag.
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349
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A derivation in Schwinger's proper time approach
I have a question in derivation of Schwinger's proper time method in chapter 2.1 of
http://link.springer.com/book/10.1007%2F3-540-45585-X
from Eq.(2.20)-Eq.(2.23) to the classical action expression …
- 531
1
vote
1
answer
212
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A formula in Sung-Sik Lee's paper
I want to ask if anyone has gone through the derivation of the second equality in the following formula
which comes from http://journals.aps.org/prb/abstract/10.1103/PhysRevB.80.165102.
- 531
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0
answers
103
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Topological term under electron-electron interaction
By integrating out fermions in gapped Dirac Hamiltonian, one can obtain a topological term for topological insulator. Why there is no further correction to this term when electron-electron interaction …
- 531
3
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0
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473
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Fujikawa's method for 2+1-dimensional parity anomaly?
Fujikawa's chiral rotation method is applied to calculate 3+1 dimensional chiral anomaly in many textbooks, but is there any counterpart of that method in deriving 2+1 dimensional parity anomaly, i.e. …
- 531
4
votes
0
answers
508
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Anomaly for Majorana fermion?
In 4-spacetime dimension, is there U(1) gauge field chiral anomaly associated with Majorana fermion (or I am not sure if it is equivalent, majorana representation)? Besides, I have read from several p …
- 531
1
vote
1
answer
472
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Topological entanglement entropy in transverse quantum Ising model?
I have seen from literature that the $Z_2$ lattice gauge theory in 2d could be mapped into a quantum Ising model with gauge constraints on the Hilbert space by dual transformation. The deconfined phas …
- 531
3
votes
2
answers
4k
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Relationship between lesser Green's function and greater Green's function in Keldysh formalism
I wonder if there is any general relationship between lesser Green's function $G^<(t,t')$ and $G^>(t,t')$ in the non equilibrium case, which means they not only depend on the relative time but also th …
- 531
6
votes
1
answer
561
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Proof of periodicity of Floquet Green's function
It is claimed in many papers that the two-time Green's function in time periodic Hamiltonian case is periodic in the average time, i.e.
\begin{equation}
G(t+T,t'+T)=G(t,t')
\end{equation}
when $H(t+ …
- 531
3
votes
0
answers
156
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A question on intermediate step in deriving gravitational anomaly by Fujikawa's method
In Fujikawa's 'Path integrals and Quantum Anomalies', Eq.(10.26) in the derivation of gravitational anomaly in Chapter 10.1 is puzzling for me.
$A_{\mu}^{mn}(x_0^{\mu}+\frac{y^{\mu}}{M})=\frac{1}{2M …
- 531