Article
Physics, Multidisciplinary
Gokce Basar
Summary: By utilizing a combination of Pade' resummation and conformal maps, we are able to efficiently determine the location of the critical point, constrain nonuniversal parameters, and numerically evaluate the equation of state near the critical point in the crossover region of the Ising universality class.
PHYSICAL REVIEW LETTERS
(2021)
Article
Astronomy & Astrophysics
Gokce Basar, Gerald Dunne, Zelong Yin
Summary: Motivated by the search for the QCD critical point, this paper discusses how to obtain the singular behavior of a thermodynamic system near a critical point from a limited amount of local data generated in a different region of the phase diagram. It shows that by using a limited number of Taylor series coefficients, it is possible to reconstruct the equation of state past the radius of convergence, particularly in the critical region. Furthermore, it demonstrates the possibility of extending this reconstruction from a crossover region to the first-order transition region in the phase diagram using a uniformizing map to pass between Riemann sheets. The ideas are illustrated through the chiral random matrix model and the Ising model.
Article
Physics, Particles & Fields
Noriaki Otake, Norikazu Yamada
Summary: The phase diagram on the theta-T plane in four dimensional SU(3) Yang-Mills theory is explored in this study. The dependence of the deconfinement transition temperature, T-c(theta), on theta is investigated using the constraint effective potential for Polyakov loop. It is found that T-c(theta) is consistent with previous results and the potential barrier at T-c(theta) becomes higher with increasing theta, suggesting the presence of a first-order transition above a certain value of theta. Additionally, the expected theta dependence of the free energy density at T less than or similar to T-c(theta) is discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
R. N. Rogalev, V. G. Bornyakov, N. V. Gerasimeniuk, V. A. Goy, A. A. Korneev, A. V. Molochkov, A. Nakamura
Summary: The thermodynamic properties of dense and hot strongly interacting matter were studied in the lattice regularization of QCD using the Lee-Yang approach. It was found that at high temperatures, the Lee-Yang zeros in the complex plane of baryon fugacity lie on the negative real semiaxis, indicating the Roberge-Weiss transition. The baryon density and pressure exhibit a gap on the line of Lee-Yang zeros, with the baryon density jump being proportional to the density of Lee-Yang zeros. Two methods for calculating baryon number distributions were explored, showing that the asymptotic estimate method only gives positive state probabilities for a specific baryon number, unlike numerical integration. The importance of experimental measurements of these probabilities in studying thermodynamic equilibrium in nuclear-nuclear collisions is discussed.
PHYSICS OF PARTICLES AND NUCLEI LETTERS
(2023)
Article
Astronomy & Astrophysics
Jan M. Pawlowski, Manuel Scherzer, Christian Schmidt, Felix P. G. Ziegler, Felix Ziesche
Summary: We propose a novel simulation strategy for Yang-Mills theories with a complex coupling, based on the Lefschetz thimble decomposition. This approach can potentially be adapted to QCD at finite density and real-time simulations, offering a solution to sign problems in Monte Carlo calculations within models with complex actions. Our algorithm demonstrates exponential improvements over standard reweighting approaches, despite facing a residual sign problem.
Article
Optics
Fredrik Brange, Tuomas Pyharanta, Eppu Heinonen, Kay Brandner, Christian Flindt
Summary: Bose-Einstein condensation occurs when a gas of bosons is cooled below its transition temperature, leading to macroscopic occupation of the ground state. Recent progress in experimental techniques allows for the assembly of quantum many-body systems from single atoms, enabling the prediction of the condensation temperature based on energy fluctuations of a small number of bosons. By utilizing Lee-Yang theories of phase transitions, it is possible to determine the behavior of the partition function and predict the convergence point of the zeros in the complex plane of the inverse temperature. This research provides insights into the condensation temperature of a Bose gas in different dimensions and confirms the absence of phase transition in one dimension.
Article
Astronomy & Astrophysics
Martin Napetschnig, Reinhard Alkofer, Markus Q. Huber, Jan M. Pawlowski
Summary: By utilizing Nielsen identities and Landau gauge propagators as the starting point, we calculate gluon and ghost propagators in Yang-Mills theory, showing that our results are quantitatively reliable for gauge parameter values xi <= 1/2. The correlation functions, especially the ghost propagator, significantly change with increasing gauge parameter, while the ghost-gluon running coupling and the position of the zero crossing of the Schwinger function of the gluon propagator remain unchanged within uncertainties.
Article
Mathematics, Applied
Jianping Jiang, Charles M. Newman
Summary: This research completes the verification of the relationship between thermodynamic singularities and finite-volume singularities, showing that the modulus of the singularities decreases as the volume increases and approaches the radius in the thermodynamic limit.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2023)
Article
Astronomy & Astrophysics
S. Borsanyi, R. Kara, R. Vig, Z. Fodor, D. A. Godzieba, P. Parotto, D. Sexty
Summary: We investigate the first order transition between the confining and the center symmetry breaking phases of the SU(3) Yang-Mills theory. By studying the nonanalytical behavior of the topological susceptibility and its higher cumulant, we make connections to the curvature of the phase diagram in the T - theta plane and to the latent heat.
Article
Materials Science, Multidisciplinary
Pascal M. Vecsei, Jose L. Lado, Christian Flindt
Summary: In this study, a new Lee-Yang theory is developed to analyze quantum phase transitions and is applied to determine the phase diagram of the two-dimensional quantum Ising model. The method exploits the analytic properties of the order parameter in systems of finite size and can predict the critical behavior of two-dimensional quantum systems at finite temperatures.
Article
Astronomy & Astrophysics
Jens O. Andersen, Qianqian Du, Michael Strickland, Ubaid Tantary
Summary: The free energy density of N=4 supersymmetric Yang-Mills theory in four space-time dimensions is investigated using effective-field theory methods. Contributions to the free energy density are found to come from the hard scale T and the soft scale root λT.
Review
Astronomy & Astrophysics
Gernot Eichmann, Jan M. Pawlowski, Joao M. Silva
Summary: The origin of the mass gap in the Yang-Mills sector of QCD is a longstanding question, which can be addressed by solving the coupled Dyson-Schwinger equations and exploring the longitudinal projection of the gluon selfenergy in the mechanism of mass gap generation. The study reveals the presence of a massless pole in the ghost-gluon vertex, but it is only present in the scaling solution due to the assumption of complete infrared dominance of the ghost.
Article
Physics, Multidisciplinary
Milan Knezevic, Milos Knezevic
Summary: The numerical examination of the distributions of zeros of the grand canonical partition function for a model of self interacting directed lattice animals on infinite strips of the square lattice revealed that the patterns of zeros change from simple circular forms to more complex structures with increasing interaction strength. The study also showed that as the interaction weakens, the zeros approach the real axis following a power-law behavior, while for stronger interactions, the zeros move faster towards the real axis following an exponential law, indicating a possible divergence of animal transverse size in a logarithmic way in the thermodynamic limit.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Nuclear
Kai Xue, Xiaozhu Yu, Xinyang Wang
Summary: This paper discusses the issue of regularization in the NJL model for the thermal part and concludes that it is necessary to use regularization when calculating physical quantities related to the chiral condensate, but not when calculating physical quantities related to the grand potential.
Article
Astronomy & Astrophysics
Claudio Bonati, Marco Cardinali, Massimo D'Elia, Matteo Giordano, Fabrizio Mazziotti
Summary: The study shows that the reconfinement phase transition in trace deformed SU(3) Yang-Mills theory is first order, similar to the standard thermal phase transition. The behavior of thermal monopoles and the localization properties of Dirac eigenmodes are investigated, indicating a strict link between them in both reconfinement and standard confinement transitions.
Article
Astronomy & Astrophysics
Kouji Kashiwa, Akira Ohnishi
Article
Astronomy & Astrophysics
Yuto Mori, Kouji Kashiwa, Akira Ohnishi
Article
Physics, Multidisciplinary
Yuto Mori, Kouji Kashiwa, Akira Ohnishi
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
(2018)
Article
Astronomy & Astrophysics
Toshitaka Tatsumi, Ryo Yoshiike, Kouji Kashiwa
Article
Multidisciplinary Sciences
Kouji Kashiwa
Article
Multidisciplinary Sciences
Kouji Kashiwa, Takehiro Hirakida, Hiroaki Kouno
Summary: This study introduces the isospin chemical potential to a three-dimensional three-state Potts model to mimic dense QCD. Through persistent homology analysis, the dense spatial structure of QCD is explored.
Article
Astronomy & Astrophysics
Kouji Kashiwa, Hiroaki Kouno
Summary: In this paper, we investigate the canonical partition function with a fixed quark number using the imaginary chemical potential region. We estimate the multiplicity entropy, the configuration entropy, and the pointwise information to understand the properties of the cold QCD matter at finite density. By considering the large-Nc limit, we can gain insights into the tendencies and their relation to the quarkyonic phase. Additionally, we discuss the nontrivial ground-state degeneracy from the viewpoint of the canonical sectors.
Article
Astronomy & Astrophysics
Hiroaki Kouno, Kouji Kashiwa, Takehiro Hirakida
Summary: The study focused on the nonanalyticity and sign problem of the Z(3)-symmetric heavy quark model at low temperature, analyzing the nonanalyticity in relation to the zeros of the grand canonical partition function. The Z(3)-symmetric effective Polyakov-line model (EPLM) and the effects of imaginary quark chemical potential were considered, revealing the significant impact of Z(3) symmetry on the structure of zeros in the microscopic probability density function.
Article
Astronomy & Astrophysics
Kouji Kashiwa, Hiroaki Kouno
Summary: By investigating nuclear and quark matters at finite real chemical potential and low temperature using the canonical sectors constructed via the imaginary chemical potential region, we are able to discuss the confinement/deconfinement nature and color superconductivity at finite mu(R) based on large N-c estimation. The sharp changes of canonical sectors at mu(R) similar to M-B/N-c in the large N-c regime are matched with the quarkyonic picture, providing a suitable picture for dense QCD matter.
Article
Astronomy & Astrophysics
Kouji Kashiwa, Hiroaki Kouno
Summary: This paper investigates the information theoretical aspects of the three-dimensional three-state Potts model with external field, finding a peak in information flow near the confinement-deconfinement transition which can be used to detect precursors of the transition. The transfer mutual information still exhibits a peak even with continuous changes in the Polyakov-loop, suggesting the potential to identify aspects of the confinement-deconfinement nature from information flow properties. Additionally, significant differences in behavior below and above the Roberge-Weiss endpoint in the region of pure imaginary chemical potential indicate a system change through the confinement-deconfinement transition.
Article
Astronomy & Astrophysics
Kazuo Ghoroku, Kouji Kashiwa, Yoshimasa Nakano, Motoi Tachibana, Fumihiko Toyoda
Article
Astronomy & Astrophysics
Kouji Kashiwa, Hiroaki Kouno
Article
Astronomy & Astrophysics
Kazuo Ghoroku, Kouji Kashiwa, Yoshimasa Nakano, Motoi Tachibana, Fumihiko Toyoda
Article
Astronomy & Astrophysics
Kouji Kashiwa, Yuto Mori, Akira Ohnishi
Article
Astronomy & Astrophysics
Yuto Mori, Kouji Kashiwa, Akira Ohnishi
