Loading in 5 sec....

Some Field Theoretical Issues of the Chiral Magnetic EffectPowerPoint Presentation

Some Field Theoretical Issues of the Chiral Magnetic Effect

- By
**dale** - Follow User

- 104 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Some Field Theoretical Issues of the Chiral Magnetic Effect' - dale

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### Some Field Theoretical Issues of the Chiral Magnetic Effect

Hai-cang Ren

The Rockefeller University & CCNU

with De-fu Hou, Hui Liu

JHEP 05(2011)046

The contents

- An introduction of CME
- Axial anomaly in QCD
- General properties of CME
- One loop calculation
- Summary
- Current project

1. A charged massless quark in a magnetic field

(Fukushima, Kharzeev and Warringa)

In a quark matter of net axial charge

Color-flavor factor

T≠0

2. RHIC Implementationi)Excess axial change

Transition between different topologies of QCD

Axial anomaly

the wind number QCD field strength

ii)Magnetic field

Generated by an off-central collision

ion

ion

iii)May provide a new signal of QCD phase transition.

iv)Theoretical approach:

---- Field theory (Fukushima et. al., Kharzeev et. al.)

---- Holographic theory(Yee, Rebhan et. al.)

v)There are experimental evidences, remains to be solidified.

vi)Complication in RHIC:

＊Inhomogeneous & time dependent magnetic field

＊Inhomogeneous temperature and chemical potentials

local equilibrium

＊Beyond thermal equilibrium

- A relativistic quantum field theory at nonzero temperature
- and/or chemical potentials
- UV divergence is no worse than vacuum
- IR is more problematic because:
- ---- The appearance of the ratio
- ---- The appearance of the ratios etc.
- ---- Linde’s problem with gluons.

- Naïve Ward identities:

- UV divergence demands regularization (e.g. Pauli Villars)
------ Not all Ward identities can be preserved

------ The ones related to gauge symmetries have to be maintained

PV regulators:

※The explanation of the rate of

※ The solution of UA(1) problem

※ Link the change of the axial charge and the change of topology.

※Chiral magnetic effect, chiral vortical effect, etc.

i) Naïve axial charge & conserved axial charge

should be used in thermodynamics equilibrium(Rubakov)

ii) Grand partition function:

iii) Linear response

The usual photon self-energy tensor, subject to

higher order corrections

to all orders and all T and

General tensor structure with Bose symmetry:

III. One loop calculation

Continuation of imaginary Matsubara to with real for retarded (advanced) response function after the summation over Matsubara

Download Presentation

Connecting to Server..