We establish the direct d = 2 on-shell bosonization ψ L ( x + ) = e i ξ ( x + ) and ψ R † ( x - ) =
e i ξ ( x - ) in path integral formulation by deriving the off-shell relations ψ L ( x ) ψ R † ( x ) = …

… The anomaly A ( x ; α ) can be derived using Fujikawa's method, ie by calculating the
transformation of the path integral measure [5], [6], which in our case reads(5) D Ψ D Ψ → J ( α ) D …

At finite temperature and density chiral anomalies give rise to dissipationless transport
phenomena. The most prominent example being the chiral magnetic effect (CME) and the chiral …

We investigate the propagation of electromagnetic radiation in the magnetic dual chiral
density wave (MDCDW) phase of dense quark matter. Considering the theory of low-energy …

A new mechanism of photon emission in the quark-gluon plasma is proposed. Photon
dispersion relation in the presence of the C P -odd topological regions generated by the chiral …

… IV, we derive the diffeomorphism and trace anomalies using Fujikawa,s approach in a plane
… Appendix B reviews Fujikawa,s approach, the regulator used in relativistic field theories and …

We have studied a massive U (1) gauge holographic model with pure gauge and mixed
gauge-gravitational Chern-Simons terms. The full backreaction of the gauge field on the metric …

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… From then on we do the (real) time development with the microscopic Hamiltonian H. In …
We have also checked that to lowest order in ω and k one has 〈T 0zT 0z〉 = p, where p is the …

… The corresponding equations of motion imply that p 2 � p 02 � m 2 and k 2 � −λb0jkj, where
λ � �1 is the photon polarization. As mentioned before, we assume that ω ≫ b0, so that k …