Lecture 15
Some simple points
Talk about WS6
Toy Models
Why is the free Lagrangian for a real scalar
22
1
2 m
But for a complex scalar (no factor of )?
( ) m 2
A free complex scalar can be thou
Physics 637 2013F
Name_
Pauli and Dirac Algebra
1. Pauli Trace Algebra: Here I will use the notation that for a 3-
vector v , The bold
face indicates th
Physics 637 2013F
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Working with SU(2) and O(3) Transformations
1. Calculating rotations using Pauli Matrices: Recall that
i
R2 (v , ) = exp( 2 v ) = cos iv sin
Lecture 5
Field Lagrangians
Physics 637 2013 F David Atwood
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Lagrangian
Hamiltons Principle
The equation of motion is an stationary point of the Lagrangian (in
classical mechanics also minimizes)
Lecture 11
Annhilation:
e2
t
e2
M 2 = i
u
QED Calculations continued
More about Phase Space
M 1 = i
e + e
v2 E1 ( p1 k2 ) E2u1
iq
t
u
2
| M | = 2e
| M 2 |unpol = 2e 4
u
t
*
2 Re( M 1M 2 )unpol = 0
Lecture 6
Lagrangian Formulation of Field Theory
Classical E&M as a Gauge Theory.
The Main approach to modeling QFT we will use is the
Lagrangian formulation
To derive predictions we will use Feynm
Quark potential
Lecture 4
can be
of
Upshot of Worksheet 1
Review of Quark Model and SU(3) Flavor Symmetry
Some more review on Dirac algebra and trace calculations.
qq
e
urrent
A rotation can be rep
Lecture 2
Symmetries and Representations for some Nonabelian Groups
Basic calculational methods
Trace calculations; Fierz identities; Completeness expansions
Physics 637 2013 F David Atwood
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Some
Lecture 3
Fierz Identities
Review of Quark Model and SU(2) Flavor Symmetry
Fierz identities transform tensor products into products with
the indices permuted.
They are handy tools for reducing arbi
Lecture 1
Learning Goals for 637
About 637
Introduction
Review of Symmetry
Gain a working knowledge of tools for calculating cross sections.
Group Theory: SU(2), SU(3), SO(3)
Feynman Diagrams
P
Physics 637 2013F: Course of Study
Griffiths 2nd Quinn (1st
ed
ed)
Date
Lecture #
Title
8/27/13
1
Introduction: Review
"Particle Adventure"
8/29/13
2
Symmetry and
Representations
Rev
Physics 637 Homework HEP #2 Due October 8, 2013
1. Finish up parts 2cde of worksheet 4 (Phase Space/Compton Scattering) and hand in
completed worksheet with assignment.
2. Consider the scattering
Physics 637 Homework HEP #3
Due November 14
1
1. If =
is a complex doublet field which is an isospin representation of a
2
SU(2) gauge theory. Show that for an arbitrary you can represent it in
Physics 637 Homework HEP #2 Due October 8, 2013
(solutions)
1. Finish up parts 2cde of worksheet 4 (Phase Space/Compton Scattering) and hand in
completed worksheet with assignment.
See posted workshee
Physics 637 Homework #1 Due Sept 12, 2013
1. Consider a set of Heaviside-Lorentz units where 0 = 0 = 1 ( c = 1) and we express
all physical quantities in terms of powers of GeV. For each of the follow
Physics 637 Homework HEP #1
1. Consider a set of Heaviside-Lorentz units where = 0 = 0 = 1 ( c = 1) and we
express all physical quantities in terms of powers of GeV. For each of the following
physical
Physics 637 2013F
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Charged Current Scattering: Center of Mass
1. Consider the three reactions below in the center of mass frame at sufficiently
high e
Lecture 8
Feynman Diagrams
Feynman Diagrams I; Phase space.
Go over worksheet
This is the main calculational tool we will use to obtain
predictions for a fundamental theory.
In particular we will
Lecture 7
Review
Quantum E&M as a Gauge Theory.
The Lagrangian for a charged scalar field is
L = ( D ) * ( D ) m2 | |2 1 F F
4
This Lagrangian is invariant under the coupled gauge
transformation:
Outline
49 Years of the Higgs Boson
David Atwood ISU
October 23 2013
10/23/2013
David Atwood ISU
1
The Idea
How it Works
The Standard Model as a Broken Gauge Theory
Milestones of the Standard Model
Is
Lecture 19
Weak Interaction of Leptons
Physics 637 2013 F David Atwood
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Physics 637 2013 F David Atwood
2
0.814 MeV
0.863 MeV
Physics 637 2013 F David Atwood
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Physics 637 2013 F David Atwood
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Beta
Neutrino Beam + Electron Target with a Muon in
Final State
Lecture 20
Inverse muon decay example
Intermediate Vector Boson Hypothesis
Some features of this kind of reaction?
They only have charged
Lecture 21
Tangent 1: Concerning question 2
Some Tangents
Intermediate Vector Boson Hypothesis
Pathologies of 4 fermi theory
Pathologies of raw IVB
You might want to do 2b before 2a since it is easier
Lecture 18
Why Does Particle Physics need SSB?
• Weinberg and Salam constructed the Standard Model in 1967
where SSB is an essential element of the theory.
• What drove them to put this craziness at
Model 3 Summary: Charged Real Scalar Fields with
U(1) Gauge Symmetry
Lecture 16
Symmetry of Lagrangian
Lagrangian
Model 4
Model 4
L = | D |2 V (| |2 ) 1 F F
4
U (1) :
eiq ( x )
V ( ) = | | + | | (|
Physics 637 2013F
Name_
Scalar Feynman Diagrams
1. Scalar Exchange: Suppose that there exists a neutral scalar h (perhaps a higgs
or something like that) wh