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Towards finite density QCD with Taylor expansions

Frithjof Karsch
(
- Brookhaven and
- Bielefeld U.
)
,
Bernd-Jochen Schaefer
(
- Graz U. and
- Giessen U.
)
,
Mathias Wagner
(
- Bielefeld U.
)
,
Jochen Wambach
(
- Darmstadt, Tech. Hochsch. and
- Darmstadt, GSI
)

Oct, 2011

7 pages

Part of Proceedings, 29th International Symposium on Lattice field theory (Lattice 2011) : Squaw Valley, Lake Tahoe, USA, July 10-16, 2011

Published in:

PoS LATTICE2011 (2011) 219

Contribution to:

- Lattice 2011

e-Print:

1110.6038 [hep-lat]

DOI:

10.22323/1.139.0219

Report number:

BI-TP-2011-33

View in:

ADS Abstract Service

reference search6 citations

Citations per year

Abstract: (arXiv)

We analyze general convergence properties of the Taylor expansion of observables to finite chemical potential in the framework of an effective 2+1 flavor Polyakov-quark-meson model. To compute the required higher order coefficients a novel technique based on algorithmic differentiation has been developed. Results for thermodynamic observables as well as the phase structure obtained through the series expansion up to 24th order are compared to the full model solution at finite chemical potential. The available higher order coefficients also allow for resummations, e.g. Pade series, which improve the convergence behavior. In view of our results we discuss the prospects for locating the QCD phase boundary and a possible critical endpoint with the Taylor expansion method.

Note:

7 pages, 4 figures. Contribution to the XXIX International Symposium on Lattice Field Theory, July 10 - 16 2011, Squaw Valley, Lake Tahoe, California

potential: chemical
density: finite
quantum chromodynamics: density
flavor: 3
Taylor expansion
higher-order
Polyakov loop
resummation

References(24)

Figures(6)

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Frithjof Karsch
(
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)
,
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(
- Graz U.
)
,
Mathias Wagner
(
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)
,
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)

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)
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(
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)
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)

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Bernd-Jochen Schaefer
(
- Graz U.
)
,
Jan M. Pawlowski
(
- Heidelberg U.
)
,
Jochen Wambach
(
- Darmstadt, Tech. Hochsch. and
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)

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(
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)
,
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(
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- Darmstadt, EMMI and
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)
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Bernd-Jochen Schaefer
(
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(
- Darmstadt, Tech. Hochsch. and
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)
,
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(
- Paderborn U.
)
,
Bernd-Jochen Schaefer
(
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)

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(
- Graz U.
)
,
Mathias Wagner
(
- Darmstadt, Tech. Hochsch. and
- Darmstadt, EMMI and
- Darmstadt, GSI
)
,
Jochen Wambach
(
- Darmstadt, Tech. Hochsch. and
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)

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•
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•
DOI:
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(
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)
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Bernd-Jochen Schaefer
(
- Graz U.
)
,
Mathias Wagner
(
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- Darmstadt, EMMI and
- Darmstadt, GSI
)

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(
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)

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