001624188 001__ 1624188
001624188 003__ SzGeCERN
001624188 005__ 20230312050312.0
001624188 0247_ $$2DOI$$a10.22323/1.187.0219
001624188 0248_ $$aoai:cds.cern.ch:1624188$$pcerncds:CERN$$pcerncds:CERN:FULLTEXT$$pcerncds:FULLTEXT
001624188 035__ $$9arXiv$$aoai:arXiv.org:1311.0473
001624188 035__ $$9Inspire$$a1263203
001624188 037__ $$9arXiv$$aarXiv:1311.0473$$chep-lat
001624188 037__ $$aCERN-PH-TH-2013-257
001624188 041__ $$aeng
001624188 088__ $$aCERN-PH-TH-2013-257
001624188 084__ $$2CERN Library$$aTH-2013-257
001624188 100__ $$aBonati, Claudio$$uINFN, Pisa$$uPisa U.
001624188 245__ $$aThe chiral phase transition for two-flavour QCD at imaginary and zero chemical potential
001624188 260__ $$c2014
001624188 269__ $$c03 Nov 2013
001624188 300__ $$a7 p
001624188 300__ $$a7 p
001624188 500__ $$aComments: 7 p., 5 figures, contribution to 31st International Symposium on Lattice Field Theory - LATTICE 2013, July 29 - August 3, 2013, Mainz, Germany
001624188 500__ $$9arXiv$$a7 p., 5 figures, contribution to 31st International Symposium on Lattice Field Theory - LATTICE 2013, July 29 - August 3, 2013, Mainz, Germany
001624188 520__ $$aThe chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been determined unambiguously, due to the difficulties of simulating light quarks. We investigate the nature of the chiral transition as a function of quark mass and imaginary chemical potential, using staggered fermions on N_t=4 lattices. At sufficiently large imaginary chemical potential, a clear signal for a first-order transition is obtained for small masses, which weakens with decreasing imaginary chemical potential. The second-order critical line m_c(mu_i), which marks the boundary between first-order and crossover behaviour, extrapolates to a finite m_c(mu_i=0) with known critical exponents. This implies a definitely first-order transition in the chiral limit on relatively coarse, N_t=4 lattices.
001624188 520__ $$9arXiv$$aThe chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been determined unambiguously, due to the difficulties of simulating light quarks. We investigate the nature of the chiral transition as a function of quark mass and imaginary chemical potential, using staggered fermions on N_t=4 lattices. At sufficiently large imaginary chemical potential, a clear signal for a first-order transition is obtained for small masses, which weakens with decreasing imaginary chemical potential. The second-order critical line m_c(mu_i), which marks the boundary between first-order and crossover behaviour, extrapolates to a finite m_c(mu_i=0) with known critical exponents. This implies a definitely first-order transition in the chiral limit on relatively coarse, N_t=4 lattices.
001624188 540__ $$3Preprint$$aCC-BY-3.0
001624188 542__ $$3Preprint$$dCERN$$g2013
001624188 595__ $$aOA
001624188 595__ $$aCERN-TH
001624188 595__ $$aLANL EDS
001624188 65017 $$2arXiv$$aParticle Physics - Lattice
001624188 65027 $$2arXiv$$aParticle Physics - Phenomenology
001624188 695__ $$9LANL EDS$$ahep-lat
001624188 695__ $$9LANL EDS$$ahep-ph
001624188 690C_ $$aARTICLE
001624188 690C_ $$aCERN
001624188 700__ $$aD'Elia, Massimo$$uINFN, Pisa$$uPisa U.
001624188 700__ $$ade Forcrand, Philippe$$uZurich, ETH$$uCERN
001624188 700__ $$aPhilipsen, Owe$$uFrankfurt U.
001624188 700__ $$aSanfilippo, Francesco$$uOrsay, LPT$$uINFN, Rome
001624188 710__ $$5PH-TH
001624188 773__ $$c219$$pPoS$$vLATTICE 2013$$y2013
001624188 8564_ $$uhttp://pos.sissa.it/archive/conferences/187/219/LATIICE%202013_219.pdf$$yProceedings of Science Server
001624188 8564_ $$8800614$$s509780$$uhttp://cds.cern.ch/record/1624188/files/arXiv:1311.0473.pdf
001624188 8564_ $$8800604$$s35246$$uhttp://cds.cern.ch/record/1624188/files/3dpd3.png$$y00001 ({\em Left}) Schematic phase transition behaviour of $N_f=2+1$ QCD for different choices of quark masses $(m_{u,d},m_s)$ at $\mu=0$. ({\em Right}) The same with chemical potential $\mu$ for quark number as an additional parameter. The critical boundary lines sweep out surfaces as $\mu$ is turned on. At imaginary chemical potential $\mu=i\pi/3 T$, the critical surfaces terminate in tricritical lines, which determines their curvature through critical scaling.
001624188 8564_ $$8800605$$s2898$$uhttp://cds.cern.ch/record/1624188/files/t_m.png$$y00004 ({\em Left}) Generic phase diagram as a function of imaginary chemical potential and temperature. Solid lines are first-order Roberge-Weiss transitions. The behaviour along dotted lines depends on the number of flavours and the quark masses. ({\em Middle}) For $N_f=2$ and $N_f=3$, the endpoint of the Roberge-Weiss line is a triple point (where 3 first-order lines meet) for light or heavy quark masses, and an Ising critical point for intermediate quark masses. Thus, two tricritical masses exist. ({\em Right}) In the simplest scenario the calculated $N_f=2$ and $N_f=3$ tricritical points (bullets) are joined by tricritical lines~\cite{OPRW}.
001624188 8564_ $$8800606$$s3790$$uhttp://cds.cern.ch/record/1624188/files/rwschem.png$$y00003 ({\em Left}) Generic phase diagram as a function of imaginary chemical potential and temperature. Solid lines are first-order Roberge-Weiss transitions. The behaviour along dotted lines depends on the number of flavours and the quark masses. ({\em Middle}) For $N_f=2$ and $N_f=3$, the endpoint of the Roberge-Weiss line is a triple point (where 3 first-order lines meet) for light or heavy quark masses, and an Ising critical point for intermediate quark masses. Thus, two tricritical masses exist. ({\em Right}) In the simplest scenario the calculated $N_f=2$ and $N_f=3$ tricritical points (bullets) are joined by tricritical lines~\cite{OPRW}.
001624188 8564_ $$8800607$$s29984$$uhttp://cds.cern.ch/record/1624188/files/schem1.png$$y00000 ({\em Left}) Schematic phase transition behaviour of $N_f=2+1$ QCD for different choices of quark masses $(m_{u,d},m_s)$ at $\mu=0$. ({\em Right}) The same with chemical potential $\mu$ for quark number as an additional parameter. The critical boundary lines sweep out surfaces as $\mu$ is turned on. At imaginary chemical potential $\mu=i\pi/3 T$, the critical surfaces terminate in tricritical lines, which determines their curvature through critical scaling.
001624188 8564_ $$8800608$$s11027$$uhttp://cds.cern.ch/record/1624188/files/chiralfit.png$$y00002 ({\em Left}) Possible scenarios for the chiral phase transition as function of small pion mass.\\ ({\em Right)} Chiral extrapolation of the pseudo-critical temperature for twisted mass Wilson fermions \cite{tmft}.
001624188 8564_ $$8800609$$s10125$$uhttp://cds.cern.ch/record/1624188/files/Genoa22_update9.png$$y00009 ({\em Left}) Binder cumulant for fixed quark mass as a function of imaginary chemical potential and volume. The intersection marks a critical point. ({\em Right}) Data points are calculated critical points, the lines are fits to tricritical scaling.
001624188 8564_ $$8800610$$s10476$$uhttp://cds.cern.ch/record/1624188/files/columbia_RW.png$$y00005 ({\em Left}) Generic phase diagram as a function of imaginary chemical potential and temperature. Solid lines are first-order Roberge-Weiss transitions. The behaviour along dotted lines depends on the number of flavours and the quark masses. ({\em Middle}) For $N_f=2$ and $N_f=3$, the endpoint of the Roberge-Weiss line is a triple point (where 3 first-order lines meet) for light or heavy quark masses, and an Ising critical point for intermediate quark masses. Thus, two tricritical masses exist. ({\em Right}) In the simplest scenario the calculated $N_f=2$ and $N_f=3$ tricritical points (bullets) are joined by tricritical lines~\cite{OPRW}.
001624188 8564_ $$8800611$$s14126$$uhttp://cds.cern.ch/record/1624188/files/cum_m0025.png$$y00008 ({\em Left}) Binder cumulant for fixed quark mass as a function of imaginary chemical potential and volume. The intersection marks a critical point. ({\em Right}) Data points are calculated critical points, the lines are fits to tricritical scaling.
001624188 8564_ $$8800612$$s12025$$uhttp://cds.cern.ch/record/1624188/files/Genoa3.png$$y00007 ({\em Left}) For heavy quarks, tricritical scaling of the deconfinement critical line in the vicinity of the Roberge-Weiss imaginary-$\mu$ value extends far into the region of real $\mu$~\cite{deccrit}. ({\em Right}) The $N_f=2$ backplane of Fig.~\ref{fig:schem} (right). Two tricritical points at $m=0$ and $\mu=i\pi T/3$ are connected by a $Z(2)$ critical line, which obeys tricritical scaling in the vicinity of the tricritical points.
001624188 8564_ $$8800613$$s17636$$uhttp://cds.cern.ch/record/1624188/files/m-over-t_fullrange.png$$y00006 ({\em Left}) For heavy quarks, tricritical scaling of the deconfinement critical line in the vicinity of the Roberge-Weiss imaginary-$\mu$ value extends far into the region of real $\mu$~\cite{deccrit}. ({\em Right}) The $N_f=2$ backplane of Fig.~\ref{fig:schem} (right). Two tricritical points at $m=0$ and $\mu=i\pi T/3$ are connected by a $Z(2)$ critical line, which obeys tricritical scaling in the vicinity of the tricritical points.
001624188 916__ $$sn$$w201344$$ya2013
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