QED Correction to Radiation from Magnetors Takahiro Hayashinaka 林中貴宏 (RESCEU, U. Tokyo) Work in prep. with Teruaki Suyama (RESCEU, U. Tokyo)

Slides:



Advertisements
Similar presentations
Energy stored in Magnetic Fields
Advertisements

We have looked at the magnetic field from a single loop of wire
EMLAB 1 Introduction to EM theory 2. EMLAB 2 Displacement current With the help of displacement current, magnetic fields are also generated around the.
Nonlinear Optics Lab. Hanyang Univ. Chapter 8. Semiclassical Radiation Theory 8.1 Introduction Semiclassical theory of light-matter interaction (Ch. 6-7)
My Chapter 22 Lecture.
The Study of Harmonics of the Heisenberg-Euler Lagrangian
Beyond δN-formalism for a single scalar field Resceu, University of Tokyo Yuichi Takamizu 27th Collaborator: Shinji Mukohyama (IPMU,U.
Light bending in radiation background Based on Kim and T. Lee, JCAP 01 (2014) 002 (arXiv: ); Kim, JCAP 10 (2012) 056 (arXiv: ); Kim and.
Electromagnetic Waves
An electromagnetic analog of gravitational wave memory Midwest Relativity Meeting Milwaukee, WI Oct. 25, 2013.
PHY 042: Electricity and Magnetism Energy of an E field Prof. Hugo Beauchemin 1.
Q.E.D. (Quantum Electro Dynamics) Physics 43, SRJC, spring 2008 Richard P. Feynman (the father of Quantum Electro Dynamics)
Happy 120 th birthday. Mimeograph Constraining Goldstinos with Constrained Superfields Nathan Seiberg IAS Confronting Challenges in Theoretical Physics.
8/5/08Lecture 2 Part 21 Maxwell’s Equations of the Electromagnetic Field Theory Gauss’s Law – charge makes an electric field The magnetic field is solenoidal.
1 A. Derivation of GL equations macroscopic magnetic field Several standard definitions: -Field of “external” currents -magnetization -free energy II.
Modified Coulomb potential of QED in a strong magnetic field Neda Sadooghi Sharif University of Technology (SUT) and Institute for Theoretical Physics.
Macroscopic Behaviours of Palatini Modified Gravity Theories [gr-qc] and [gr-qc] Baojiu Li, David F. Mota & Douglas J. Shaw Portsmouth,
Poynting’s Theorem … energy conservation John Henry Poynting ( )
PG lectures Spontaneous emission. Outline Lectures 1-2 Introduction What is it? Why does it happen? Deriving the A coefficient. Full quantum description.
Lecture 28 Last lecture: The electromagnetic generator Moving conductor in a time varying magnetic field Displacement current.
Chapter 27 Magnetism. Introduction Our approach –Review of E&M interaction ideas –Magnetic fields & magnets (initial ideas) –Magnetic field and currents.
Principles of the Global Positioning System Lecture 16 Prof. Thomas Herring Room A;
An Introduction to Field and Gauge Theories
Modern Navigation Thomas Herring MW 11:00-12:30 Room
Electromagnetic radiation l MAXWELL'S EQUATIONS: are four differential equations summarizing nature of electricity and magnetism: (formulated by James.
Electromagnetic wave equations: dielectric without dispersion Section 75.
Plasma Modes Along Open Field Lines of Neutron Star with Gravitomagnetic NUT Charge JD02-21 B. Ahmedov and V. Kagramanova UBAI/INP, Tashkent, UBAI/INP,
Advanced EM - Master in Physics The (GENERAL) solution of Maxwell’s equations Then for very small r, outside the charge region but near it,
1 Chapter 3 Electromagnetic Theory, Photons and Light September 5,8 Electromagnetic waves 3.1 Basic laws of electromagnetic theory Lights are electromagnetic.
Electric Fields II Electric fields are produced by point charges and continuous charge distributions Definition: is force exerted on charge by an external.
Lecture Dirac 1927: search for a wave equation, in which the time derivative appears only in the first order ( Klein- Gordon equation:
Lesson 10 The Fields of Accelerating Charges. Class 29 Today we will: learn about threads and stubs of accelerating point charges. learn that accelerating.
Absorption and Emission of Radiation:
QED at Finite Temperature and Constant Magnetic Field: The Standard Model of Electroweak Interaction at Finite Temperature and Strong Magnetic Field Neda.
Ch ; Lecture 26 – Quantum description of absorption.
Phase transitions in Hubbard Model. Anti-ferromagnetic and superconducting order in the Hubbard model A functional renormalization group study T.Baier,
Larmor’s Theorem LL2 Section 45. System of charges, finite motion, external constant H-field Time average force Time average of time derivative of quantity.
Lagrangian to terms of second order LL2 section 65.
Classical Optics Prof. D. Rich
After the Supernova: Pulsars Melissa Anholm University of Wisconsin-Milwaukee 29 September, 2008.
Introduction to materials physics #2 Week 2: Electric and magnetic interaction and electromagnetic wave 1.
1.Electricity 2.Magnetism 3.Electromagnetism CLASSICAL PHYSICS Electricity & magnetism.
1 Renormalization Group Treatment of Non-renormalizable Interactions Dmitri Kazakov JINR / ITEP Questions: Can one treat non-renormalizable interactions.
H. Quarks – “the building blocks of the Universe” The number of quarks increased with discoveries of new particles and have reached 6 For unknown reasons.
The Lagrangian to terms of second order LL2 section 65.
O Aim of the lecture  Calculation of Magnetic Fields Biot-Savart Law Magnetic field, B  Ampres Law B field Case of static E field o Main learning outcomes.
1 Why Does the Standard Model Need the Higgs Boson ? II Augusto Barroso Sesimbra 2007.
MAGNETIZATION AND SPIN MAGNETIC MOMENTS Among macroscopic objects we find those which have a permanent magnetic field, even if there are no obvious macroscopic.
ELECTROMAGNETIC PARTICLE: MASS, SPIN, CHARGE, AND MAGNETIC MOMENT Alexander A. Chernitskii.
Concepts of the Standard Model: renormalisation FK8022, Lecture 2 Core text: Quarks and leptons: an introductory course in modern physics, Halzen and Martin.
E. Todesco, Milano Bicocca January-February 2016 Appendix B: A digression on divergences in electromagnetism and lengths in atomic physics Ezio Todesco.
Fermionic Schwinger current in 4-d de Sitter spacetime Takahiro Hayashinaka (RESCEU, Univ. Tokyo) Work in preparation with : Tomohiro Fujita (Stanford),
W. Udo Schröder, 2005 Gamma Decay 1. W. Udo Schröder, 2005 Gamma Decay 2 Photons Photons: generated by moving charge distributions. Distributions can.
Light bending by a black body radiation J.Y. Kim and T. Lee, arXiv: [hep-ph] Jin Young Kim (Kunsan National Univ.) 10 th CosPA Meeting, Hawaii.
Lecture 4 – Quantum Electrodynamics (QED)
Quantum Mechanics for Applied Physics
Axion Electrodynamics
Forces & Newton’s First Law
Notes 23 ECE 6340 Intermediate EM Waves Fall 2016
Chapter V Interacting Fields Lecture 1 Books Recommended:
Electromagnetics II.
ECE 305 Electromagnetic Theory
Forces & Newton’s First Law
Electromagnetic Waves
Adnan Bashir, UMSNH, Mexico
Hyun Kyu Lee Hanyang University
Charging by Magnetism Since you can create a magnetic field by running electricity through a wire, can you create electricity using a magnetic field?
QCD at very high density
Forces & Newton’s First Law
Electromagnetic (EM) Wave
Presentation transcript:

QED Correction to Radiation from Magnetors Takahiro Hayashinaka 林中貴宏 (RESCEU, U. Tokyo) Work in prep. with Teruaki Suyama (RESCEU, U. Tokyo)

Preview - Magnetic field of Neutron Stars From Nobelprize.org P-P dot diag. Courtesy of Nakano-san, form the data of ATNF Pulsar catalogue

Nobody knows !

About QED Elementary process of QEDTypical scale (strength) of Electric field Magnetic field

Loop effect – diagram

Loop effect – Effective photon action Euler-Heisenberg Lagrangian Proper time Vacuum renormalization Charge renormalization Effective action for constant EM field is valid even under the slow varying assumption. Original kinetic term c.f. derivative expansion : J.Math.Phys. 40 (1999)

Equation of Motion Variation of the Effective action gives corrected Maxwell eq. External source (current generated by NS) 1-loop correction from fermion

Review – Classical Magnetic dipole radiation Solution far away from the source = radiation

Equation of Motion Variation of the Effective action gives corrected Maxwell eq. External source (current generated by NS) 1-loop correction from fermion

Equation of Motion - perturbation External source (current generated by NS) 1-loop correction from fermion Variation of the Effective action gives corrected Maxwell eq.

First order result Mainly contributed from BBB-term e.g. highly localized current right on the equator : (prefactor) = O(0.1) Correction term depends on the geometry (configuration) of NS current

Effective photon action (Again) Euler-Heisenberg Lagrangian

Strong field limit Using Ramanujan-Sitaramachandrarao’s formula, EH Lagrangian can be integrated and taking Strong |B| limit gives the leading behavior: which express the correction to the kinetic term. There is no correction beyond running of coupling effect, and radiation looks like classical electromagnetism with changed coupling.

summary We found the 1-loop QED correction term to the magnetic dipole radiation explicitly. It looks like, but not much larger than O(0.1). When the field strength goes extremely large, there would be NO correction.