scholarly journals Pion and kaon condensation at zero temperature in three-flavor χPT at nonzero isospin and strange chemical potentials at next-to-leading order

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen
Keyword(s):  
Zero Temperature ◽  
Leading Order ◽  
Kaon Condensation ◽  
Chemical Potentials

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

scholarly journals Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen ◽  
Patrick Kneschke
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Condensed Phase ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Tree Level ◽  
Zero Temperature ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Pion Condensation

Abstract In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a Bose-condensed phase is of second order. While the tree-level result has been known for some time, surprisingly quantum effects have not yet been incorporated into the equation of state.  We find that the corrections to the quantities we compute, namely the isospin density, pressure, and equation of state, increase with increasing isospin chemical potential. We compare our results to recent lattice simulations of 2 + 1 flavor QCD with physical quark masses. The agreement with the lattice results is generally good and improves somewhat as we go from leading order to next-to-leading order in $$\chi $$χPT.

scholarly journals Quark and pion condensates at finite isospin density in chiral perturbation theory

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Chiral Condensate ◽  
Zero Temperature ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Pion Condensate ◽  
Independent Analysis ◽  
Model Independent

AbstractIn this paper, we consider two-flavor QCD at zero temperature and finite isospin chemical potential $$\mu _I$$ μ I using a model-independent analysis within chiral perturbation theory at next-to-leading order. We calculate the effective potential, the chiral condensate and the pion condensate in the pion-condensed phase at both zero and nonzero pionic source. We compare our finite pionic source results for the chiral condensate and the pion condensate with recent (2+1)-flavor lattice QCD results. Agreement with lattice results generally improves as one goes from leading order to next-to-leading order.

scholarly journals Holographic quarkyonic matter

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Nicolas Kovensky ◽  
Andreas Schmitt
Keyword(s):  
Nuclear Matter ◽  
Real World ◽  
Quark Matter ◽  
Chiral Limit ◽  
Pion Mass ◽  
Zero Temperature ◽  
Temperature Transition ◽  
Physical Point ◽  
First Order ◽  
Chemical Potentials

Abstract We point out a new configuration in the Witten-Sakai-Sugimoto model, allowing baryons in the pointlike approximation to coexist with fundamental quarks. The resulting phase is a holographic realization of quarkyonic matter, which is predicted to occur in QCD at a large number of colors, and possibly plays a role in real-world QCD as well. We find that holographic quarkyonic matter is chirally symmetric and that, for large baryon chemical potentials, it is energetically preferred over pure nuclear matter and over pure quark matter. The zero-temperature transition from nuclear matter to the quarkyonic phase is of first order in the chiral limit and for a realistic pion mass. For pion masses far beyond the physical point we observe a quark-hadron continuity due to the presence of quarkyonic matter.

3He DIMERS IN TWO-DIMENSIONAL 3He-4He MIXTURE FILMS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1605-1608
Author(s):  
M. SAARELA ◽  
J. PAASO ◽  
E. KROTSCHECK ◽  
K. SCHÖRKHUBER
Keyword(s):  
Ground State ◽  
Stability Limit ◽  
Second Derivative ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Maximum Solubility ◽  
Weakly Bound ◽  
Chemical Potentials ◽  
Saturated Mixture ◽  
Fluctuation Mode

We have studied the ground state properties of two-dimensional 3 He -4 He mixtures at zero temperature. 3 He atoms with opposite spins form loosely bound dimers in free space and in low concentration mixtures with 4 He . The binding energy of the dimer ranges from milli-Kelvins near the saturation density to micro-Kelvins at the solidification density. The radius of such a weakly bound dimer is tens of Ångstöms. We also calculate the phase diagram of the mixture. The maximum solubility of 3 He ≈7% is determined by comparing chemical potentials in the pure and mixed fluids. The upper stability limit of the super-saturated mixture is obtained from the second derivative of the enthalpy. It becomes negative at the concentration 10-15% depending of the pressure, indicating a softening of the concentration-fluctuation mode. We also find an indication of the phase transition from the dimerized to atomic mixture.

scholarly journals On the perturbative expansion of exact bi-local correlators in JT gravity

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Luca Griguolo ◽  
Jacopo Papalini ◽  
Domenico Seminara
Keyword(s):  
Exact Result ◽  
Bernoulli Polynomials ◽  
Exact Expression ◽  
Zero Temperature ◽  
Leading Order ◽  
Positive Weight ◽  
Perturbative Series ◽  
Compact Expression ◽  
Semiclassical Expansion ◽  
Perturbative Result

Abstract We study the perturbative series associated to bi-local correlators in Jackiw-Teitelboim (JT) gravity, for positive weight λ of the matter CFT operators. Starting from the known exact expression, derived by CFT and gauge theoretical methods, we reproduce the Schwarzian semiclassical expansion beyond leading order. The computation is done for arbitrary temperature and finite boundary distances, in the case of disk and trumpet topologies. A formula presenting the perturbative result (for λ ∈ ℕ/2) at any given order in terms of generalized Apostol-Bernoulli polynomials is also obtained. The limit of zero temperature is then considered, obtaining a compact expression that allows to discuss the asymptotic behaviour of the perturbative series. Finally we highlight the possibility to express the exact result as particular combinations of Mordell integrals.

scholarly journals Residues, modularity, and the Cardy limit of the 4d $$ \mathcal{N} $$ = 4 superconformal index

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Kevin Goldstein ◽  
Vishnu Jejjala ◽  
Yang Lei ◽  
Sam van Leuven ◽  
Wei Li
Keyword(s):  
Black Hole ◽  
Chemical Potential ◽  
Specific Region ◽  
Partition Functions ◽  
Potential Space ◽  
Leading Order ◽  
Yang Mills ◽  
Superconformal Index ◽  
Chemical Potentials ◽  
Entropy Functions

Abstract We compute the superconformal index of the $$ \mathcal{N} $$ N = 4 SU(N) Yang-Mills theory through a residue calculation. The method is similar in spirit to the Bethe Ansatz formalism, except that all poles are explicitly known, and we do not require specialization of any of the chemical potentials. Our expression for the index allows us to revisit the Cardy limit using modular properties of four-dimensional supersymmetric partition functions. We find that all residues contribute at leading order in the Cardy limit. In a specific region of flavour chemical potential space, close to the two unrefined points, in fact all residues contribute universally. These universal residues precisely agree with the entropy functions of the asymptotically AdS5 black hole and its “twin saddle” respectively. Finally, we discuss how our formula is suited to study the implications of four-dimensional modularity for the index beyond the Cardy limit.

Bipolar spintronics with generation-recombination of electrons and holes: Macroscopic equations

2015 ◽  
Vol 29 (21) ◽  
pp. 1550113
Author(s):  
A. Rossani
Keyword(s):  
First Principles ◽  
Kinetic Equations ◽  
Leading Order ◽  
Balance Equations ◽  
Drift Diffusion ◽  
Total Energy Density ◽  
Chemical Potentials ◽  
General Dispersion ◽  
Macroscopic Equations ◽  
Spin Densities

A new model based on an asymptotic procedure for solving the spinor kinetic equations of carriers and phonons is proposed, which gives naturally the displaced Maxwellian at the leading order. The balance equations for the carrier numbers, total energy density and total momentum for the whole system constitute now a system of four equations for the carrier chemical potentials, the temperature of the system and the drift velocity. In the drift–diffusion approximation, the constitutive laws are derived and the Onsager relations recovered. Moreover, equations for the evolution of the spin densities are added, which account for a general dispersion relation. The treatment of spin-flip processes, derived from first principles, is new and leads to an explicit expression of the relaxation time [Formula: see text] as a function of the temperature.

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