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We determine the baryon spectrum of 1 + 1 + 1-flavor QCD in the presence of strong background magnetic fields using lattice simulations at physical quark masses for the first time. Our results show a splitting within multiplets according to the electric charge of the baryons and reveal, in particular, a reduction of the nucleon masses for strong magnetic fields. This first-principles input is used to define constituent quark masses and is employed to set the free parameters of the Polyakov loop-extended Nambu-Jona-Lasinio (PNJL) model in a magnetic field-dependent manner. The so constructed model is shown to exhibit inverse magnetic catalysis at high temperatures and a reduction of the transition temperature as the magnetic field grows — in line with non-perturbative lattice results. This is contrary to the naive variant of this model, which gives incorrect results for this fundamental phase diagram. Our findings demonstrate that the magnetic field dependence of the PNJL model can be reconciled with the lattice findings in a systematic way, employing solely zero-temperature first-principles input.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Markó, Gergely ; Sandbote, Leon ; Marques Valois, Adeilton Dean
Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the underlying theory, QCD, involving similar inhomogeneous magnetic field profiles to achieve a better understanding of this system. We simulate three flavors of dynamical staggered quarks with physical masses at a range of magnetic fields and temperatures, and extrapolate the results to the continuum limit. Analyzing the impact of the field on the quark condensate and the Polyakov loop, we find non-trivial spatial features that render the QCD medium qualitatively different as in the homogeneous setup, especially at temperatures around the transition. In addition, we construct leading-order chiral perturbation theory for the inhomogeneous background and compare its prediction to our lattice results at low temperature. Our findings will be useful to benchmark effective theories and low-energy models of QCD for a better description of peripheral heavy-ion collisions.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Hernández Hernández, José Javier ; Markó, Gergely
The introduction of non-orthogonal electric and magnetic fields in the QCD vacuum enhances the weight of topological sectors with a nonzero topological charge. For weak fields, there is a linear response for the expectation value of the topological charge. We study this linear response and relate it to the QCD correction to the axion-photon coupling. We also analyse the magnetic field dependence of the topological susceptibility for a range of temperatures around Tc. In this work we use lattice simulations with improved staggered quarks at physical masses, including background magnetic and (imaginary) electric fields.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Garnacho Velasco, Eduardo ; Markó, Gergely
The interrelation between quantum anomalies and electromagnetic fields leads to a series of non-dissipative transport effects in QCD. In this work we study anomalous transport phenomena with lattice QCD simulations using improved staggered quarks in the presence of a background magnetic field. In particular, we calculate the conductivities both in the free case and in the interacting case, analysing the dependence of these coefficients with several parameters, such as the temperature and the quark mass.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Markó, Gergely ; Sandbote, Leon ; Marques Valois, Adeilton Dean
Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the underlying theory, QCD, involving similar inhomogeneous magnetic field profiles to achieve a better understanding of this system. We simulate three flavors of dynamical staggered quarks with physical masses at a range of magnetic fields and temperatures, and extrapolate the results to the continuum limit. Analyzing the impact of the field on the quark condensate and the Polyakov loop, we find non-trivial spatial features that render the QCD medium qualitatively different as in the homogeneous setup, especially at temperatures around the transition. In addition, we construct leading-order chiral perturbation theory for the inhomogeneous background and compare its prediction to our lattice results at low temperature. Our findings will be useful to benchmark effective theories and low-energy models of QCD for a better description of peripheral heavy-ion collisions.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Markó, Gergely ; Sandbote, Leon ; Marques Valois, Adeilton Dean
Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the underlying theory, QCD, involving similar inhomogeneous magnetic field profiles to achieve a better understanding of this system. We simulate three flavors of dynamical staggered quarks with physical masses at a range of magnetic fields and temperatures, and extrapolate the results to the continuum limit. Analyzing the impact of the field on the quark condensate and the Polyakov loop, we find non-trivial spatial features that render the QCD medium qualitatively different as in the homogeneous setup, especially at temperatures around the transition. In addition, we construct leading-order chiral perturbation theory for the inhomogeneous background and compare its prediction to our lattice results at low temperature. Our findings will be useful to benchmark effective theories and low-energy models of QCD for a better description of peripheral heavy-ion collisions.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Markó, Gergely ; Sandbote, Leon ; Marques Valois, Adeilton Dean
Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the underlying theory, QCD, involving similar inhomogeneous magnetic field profiles to achieve a better understanding of this system. We simulate three flavors of dynamical staggered quarks with physical masses at a range of magnetic fields and temperatures, and extrapolate the results to the continuum limit. Analyzing the impact of the field on the quark condensate and the Polyakov loop, we find non-trivial spatial features that render the QCD medium qualitatively different as in the homogeneous setup, especially at temperatures around the transition. In addition, we construct leading-order chiral perturbation theory for the inhomogeneous background and compare its prediction to our lattice results at low temperature. Our findings will be useful to benchmark effective theories and low-energy models of QCD for a better description of peripheral heavy-ion collisions.
Brandt, Bastian Benjamin ; Cuteri, Francesca ; Endrődi, Gergely ; Markó, Gergely ; Marques Valois, Adeilton Dean
The magnetic fields generated in non-central heavy-ion collisions are among the strongest fields produced in the Universe, reaching magnitudes comparable to the scale of the strong interactions. Backed by model simulations, the resulting field is expected to be spatially modulated, deviating significantly from the commonly considered uniform profile. To improve our understanding of the physics of quarks and gluons under such extreme conditions, we use lattice QCD simulations with 2+1 staggered fermion flavors with physical quark masses and an inhomogeneous magnetic background for a range of temperatures covering the QCD phase transition. We assume a 1/cosh2 function to model the field profile and vary its strength to analyze the impact on the computed observables and on the transition. We calculate local chiral condensates, local Polyakov loops and estimate the size of lattice artifacts. We find that both observables show non-trivial spatial features due to the interplay between the sea and the valence effects.
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Kushpil, Svetlana ; Kvapil, Jakub ; Kweon, Min Jung ; Kwon, Jiyeon ; Kwon, Youngil ; La Pointe, Sarah Louise ; La Rocca, Paola ; Lai, Yue Shi ; Lakrathok, Anantachai ; Lamanna, Massimo ; Langoy, Rune ; Larionov, Pavel ; Laudi, Elisa ; Lautner, Lukas ; Lavicka, Roman ; Lazareva, Tatiana V. ; Lea, Ramona ; Lehrbach, Johannes ; Lemmon, Roy Crawford ; León Monzón, Ildefonso ; Lesch, Marcel Markus ; Lesser, Ezra Douglas ; Lettrich, Michael ; Lévai, Péter ; Li, Xiaomei ; Li, Xing Long ; Lien, Jørgen André ; Lietava, Roman ; Lim, Bong-Hwi ; Lim, Sanghoon ; Lindenstruth, Volker ; Lindner, Amelia ; Lippmann, Christian ; Liu, Alwina Ruixin ; Liu, D.H. ; Liu, Jian ; Lofnes, Ingrid Mckibben ; Loginov, Vitaly ; Loizides, Constantinos ; Lončar, Petra ; López, Jorge Andres ; Lopez, Xavier Bernard ; López Torres, Ernesto ; Luhder, Jens Robert ; Lunardon, Marcello ; Luparello, Grazia ; Ma, Yu-Gang ; Maevskaya, Alla ; Mager, Magnus ; Mahmoud, Tariq ; Maire, Antonin ; Malaev, Mikhail ; Malik, Nasir Mehdi ; 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Noh, S. ; Nomokonov, Petr V. ; Norman, Jaime ; Novitzky, Norbert ; Nowakowski, Piotr ; Nyanin, Alexander ; Nystrand, Joakim Ingemar ; Ogino, Masanori ; Ohlson, Alice ; Okorokov, Vitaly A. ; Oleniacz, Janusz ; Silva, Antonio Carlos Oliveira da ; Oliver, Michael Henry ; Önnerstad, Anna ; Oppedisano, Chiara ; Ortiz Velasquez, Antonio ; Osako, Takumi ; Oskarsson, Anders Nils Erik ; Otwinowski, Jacek Tomasz ; Oya, Motomi ; Oyama, Ken ; Pachmayer, Yvonne C. ; Padhan, Sonali ; Pagano, Davide ; Paić, Guy ; Palasciano, Antonio ; Panebianco, Stefano Matthias ; Park, Jonghan ; Parkkila, Jasper Elias ; Pathak, Surya Prakash ; Patra, Rajendra Nath ; Paul, Biswarup ; Pei, Hua ; Peitzmann, Thomas ; Peng, Xinye ; Pereira, Luis Gustavo ; Pereira da Costa, Hugo Denis Antonio ; Peresunko, Dmitry Yurevich ; Mesa Perez, Guillermo ; Perrin, Sébastien ; Pestov, Yury N. ; Petráček, Vojtech ; Petrov, Viacheslav ; Petrovici, Mihai A. ; Pezzi, Rafael Peretti ; Piano, Stefano ; Pikna, Miroslav ; Pillot, Philippe ; 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We present the first measurement of event-by-event fluctuations in the kaon sector in Pb – Pb collisions at √sNN = 2.76 TeV with the ALICE detector at the LHC. The robust fluctuation correlator νdyn is used to evaluate the magnitude of fluctuations of the relative yields of neutral and charged kaons, as well as the relative yields of charged kaons, as a function of collision centrality and selected kinematic ranges. While the correlator νdyn[K+,K−] exhibits a scaling approximately in inverse proportion of the charged particle multiplicity, νdyn[K0 S ,K±] features a significant deviation from such scaling. Within uncertainties, the value of νdyn[K0 S ,K±] is independent of the selected transverse momentum interval, while it exhibits a pseudorapidity dependence. The results are compared with HIJING, AMPT and EPOS–LHC predictions, and are further discussed in the context of the possible production of disoriented chiral condensates in central Pb – Pb collisions.
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Mohisin ; Moravcova, Zuzana ; Mordasini, Cindy ; Godoy, Denise Aparecida Moreira de ; Perez Moreno, Luis Alberto ; Morozov, Igor ; Morsch, Andreas ; Mrnjavac, Teo ; Muccifora, Valeria ; Mudnic, Eugen ; Muhlheim, Daniel ; Muhuri, Sanjib ; Mulligan, James Declan ; Mulliri, Alice ; Munhoz, Marcelo Gameiro ; Munzer, Robert Helmut ; Murakami, Hikari ; Murray, Sean ; Musa, Luciano ; Musinsky, Jan ; Myrcha, Julian Wojciech ; Naik, Bharati ; Nair, Rahul Ramachandran ; Nandi, Basanta Kumar ; Nania, Rosario ; Nappi, Eugenio ; Naru, Muhammad Umair ; Nassirpour, Adrian Fereydon ; Nath, Abhishek ; Nattrass, Christine ; Neagu, Alexandra ; Nellen, Lukas ; Nesbo, Simon Voigt ; Nešković, Gvozden ; Nesterov, Dmitrii ; Nielsen, Borge Svane ; Nikolaev, Sergey ; Nikulin, Sergey ; Nikulin, Vladimir ; Noferini, Francesco ; Noh, S. ; Nomokonov, Petr V. ; Norman, Jaime ; Novitzky, Norbert ; Nowakowski, Piotr ; Nyanin, Alexander ; Nystrand, Joakim Ingemar ; Ogino, Masanori ; Ohlson, Alice ; Okorokov, Vitaly A. ; Oleniacz, Janusz ; Silva, Antonio Carlos Oliveira da ; Oliver, Michael Henry ; Önnerstad, Anna ; Oppedisano, Chiara ; Ortiz Velasquez, Antonio ; Osako, Takumi ; Oskarsson, Anders Nils Erik ; Otwinowski, Jacek Tomasz ; Oyama, Ken ; Pachmayer, Yvonne C. ; Padhan, Sonali ; Pagano, Davide ; Pai´c, G. ; Palasciano, Antonio ; Pan, Jinjin ; Panebianco, Stefano Matthias ; Pareek, Pooja ; Park, Jonghan ; Parkkila, Jasper Elias ; Pathak, Surya Prakash ; Patra, Rajendra Nath ; Paul, Biswarup ; Pazzini, J. ; Pei, Hua ; Peitzmann, Thomas ; Peng, Xinye ; Pereira, Luis Gustavo ; Pereira da Costa, Hugo Denis Antonio ; Peresunko, Dmitry Yurevich ; Perez, G. 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In particle collider experiments, elementary particle interactions with large momentum transfer produce quarks and gluons (known as partons) whose evolution is governed by the strong force, as described by the theory of quantum chromodynamics (QCD)1. These partons subsequently emit further partons in a process that can be described as a parton shower2, which culminates in the formation of detectable hadrons. Studying the pattern of the parton shower is one of the key experimental tools for testing QCD. This pattern is expected to depend on the mass of the initiating parton, through a phenomenon known as the dead-cone effect, which predicts a suppression of the gluon spectrum emitted by a heavy quark of mass mQ and energy E, within a cone of angular size mQ/E around the emitter3. Previously, a direct observation of the dead-cone effect in QCD had not been possible, owing to the challenge of reconstructing the cascading quarks and gluons from the experimentally accessible hadrons. We report the direct observation of the QCD dead cone by using new iterative declustering techniques4,5 to reconstruct the parton shower of charm quarks. This result confirms a fundamental feature of QCD. Furthermore, the measurement of a dead-cone angle constitutes a direct experimental observation of the non-zero mass of the charm quark, which is a fundamental constant in the standard model of particle physics.