Perturbative QCD for colliders (pQCD - Lecture 1) by Michael Spira

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PROGRAM

THE MYRIAD COLORFUL WAYS OF UNDERSTANDING EXTREME QCD MATTER

ORGANIZERS: Ayan Mukhopadhyay, Sayantan Sharma and Ravindran V

DATE: 01 April 2019 to 17 April 2019

VENUE: Ramanujan Lecture Hall, ICTS Bangalore

Strongly interacting phases of QCD matter at extreme temperature and densities are complex and perplexing, yet they can reveal a lot about the fundamental dynamics of gauge theories. One such phase is the Quark-Gluon Plasma (QGP), which was formed in the microsecond-old Universe and has recently been successfully recreated in the major collider experiments at CERN and BNL. Upcoming experiments will probe QCD matter further in the high baryon density regime revealing many features of the complex phase diagram. Recently new insights on cold dense QCD matter which inhabit the core of neutron stars have come from observations of new era of multi-messenger astronomy. Theoretical description of how such phases of QCD matter were formed from perturbative processes and their equilibration and thermodynamic and real-time properties pose one of the most difficult challenges in theoretical physics today.

The goal of this program is to train the younger researchers comprehensively for confronting this challenge via assimilation of diverse theoretical perspectives including lattice gauge theory, perturbative QCD, and also holographic and kinetic approaches for far-from-equilibrium phenomena.

The main lectures will be on

1. Perturbative QCD and effective theories like SCET
2. Lattice Gauge Theory
3. Thermal Field theory and hard-thermal-loop resummations in QCD
4. Low-x physics
5. Holographic approaches to QCD matter
6. QCD kinetic theory
7. Jets in QGP

We will also have talks on special emerging topics like hydrodynamic attractors, novel hybrid approaches, phenomenological methods, neutron stars and QCD, and a discussion session on collectivity in small systems. Finally, we will have talks from younger participants of the program.

0:00:00 Perturbative QCD for colliders (pQCD-Lecture 1) Michael Spira
0:03:01 Quantum Chromodynamics
0:06:07 Literature
0:06:30 Introduction of Color
0:10:37 color trafos: max. mixing group of the 3 color d.o.f. (* comm.
0:16:40 Tests of the Color Hypothesis
0:24:24 2. Gluon Gauge Fields
0:29:40 Gluon field Lagrangian:
0:34:35 Lagrangian of QCD:
0:38:36 3. Asymptotic Freedom
0:48:56 INTERMEZZO - Reformulation
0:55:01 Renormalization group equation
1:02:51 Quark masses
1:12:11 Renormalization group equation:
1:14:15 Examples
1:17:27 INTERMEZZO: IR renormalon
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Quantum Entangled Twisted Tubules:

When we draw a sine wave on a blackboard, we are representing spatial curvature. Does a photon transfer spatial curvature from one location to another? Wrap a piece of wire around a pencil and it can produce a 3D coil of wire, much like a spring. When viewed from the side it can look like a two-dimensional sine wave. You could coil the wire with either a right-hand twist, or with a left-hand twist. Could Planck's Constant be proportional to the twist cycles. A photon with a higher frequency has more energy. (More spatial curvature). What if gluons are actually made up of these twisted tubes which become entangled with other tubes to produce quarks. (In the same way twisted electrical extension cords can become entangled.) Therefore, the gluons are actually a part of the quarks. Mesons are made up of two entangled tubes (Quarks/Gluons), while protons and neutrons would be made up of three entangled tubes. (Quarks/Gluons) The "Color Force" would be related to the XYZ coordinates (orientation) of entanglement. "Asymptotic Freedom", and "flux tubes" make sense based on this concept. Neutrinos would be made up of a twisted torus (like a twisted donut) within this model. Gravity is a result of a very small curvature imbalance within atoms. (This is why the force of gravity is so small.) Instead of attempting to explain matter as "particles", this concept attempts to explain matter more in the manner of our current understanding of the space-time curvature of gravity.

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