Related Experiment Video
Updated: Jul 25, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Proper time regularization and the QCD chiral phase transition
Zhu-Fang Cui1,2, Jin-Li Zhang1, Hong-Shi Zong1,2,3
1Department of Physics, Nanjing University, Nanjing, 210093, China.
Scientific Reports
|April 13, 2017
Summary
The study explores the QCD chiral phase transition using the Nambu-Jona-Lasinio model. Findings reveal the transition
Area of Science:
- * Quantum Chromodynamics (QCD) and its phase transitions.
- * Theoretical particle physics and condensed matter physics.
- * Nuclear physics and high-energy physics.
Background:
- * Understanding the QCD phase diagram is crucial for comprehending matter under extreme conditions.
- * The Nambu-Jona-Lasinio (NJL) model is a widely used effective theory for studying QCD phenomena.
- * Regularization schemes significantly influence theoretical model predictions.
Purpose of the Study:
- * To investigate the QCD chiral phase transition at finite temperature and quark chemical potential.
- * To implement a generalized proper-time regularization scheme within the two-flavor NJL model.
- * To analyze the impact of the regularization scheme on phase transition properties and the appearance of a critical endpoint (CEP).
Main Methods:
- * Employing the two-flavor Nambu-Jona-Lasinio (NJL) model.
- * Implementing a generalized proper-time regularization scheme.
- * Analyzing the QCD phase diagram at finite temperature and quark chemical potential.
Main Results:
- * In the chiral limit, the entire transition line is second-order.
- * For finite quark masses, a crossover is observed.
- * Including quark condensate effects on coupling strength suggests the possible appearance of a critical endpoint (CEP).
Conclusions:
- * The chosen regularization scheme has a dramatic impact on NJL model studies of the QCD phase transition.
- * Results differ substantially from those obtained with alternative regularization schemes.
- * This highlights the importance of carefully selecting and implementing regularization methods in theoretical physics.
Related Concept Videos
02:31Phase Transitions
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
02:33Phase Transitions: Sublimation and Deposition
Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
01:21Phase Transitions
A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
01:20The Phase Rule
The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
01:24Time and frequency -Domain Interpretation of Phase-lead Control
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
01:21Time and frequency -Domain Interpretation of Phase-lag Control
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...