Announcements for Physics 752 (Prof. Agashe) - Spring 2011

(1).
Schedule for last
two lectures (Friday, May 6 and Monday, May 9): 11 am.-12.15 pm.

in Room 4102.

After
discussing CP violation from CKM matrix, I will briefly discuss QCD, roughly

following
sections 17.2-17.4 of Peskin and Schroder. I already went over the

historical
overview of QCD in their section 17.1 in lecture.

Some notes for QCD discussion have been posted here.

For discussion
of CKM matrix, sections
11.3 and 12.2 of Cheng and Li and sections

II-4, IX-1 and
XIV-5 (specifically page 407 onwards) of Donoghue,
Golowich and

Hosltein might be useful.

(2) All HW’s are now assigned here (2
more problems have been added in HW 6, relative

to 1^{st} version and some comments have been added in
HW 7, but no
extra problems)

Deadline for all HW’s and term paper is
May 16.

(3). Term paper

The length of term paper will obviously depend on the topic (+ size
of margins etc.!),

but I am
expecting a minimum of (roughly) 10 pages (single spaced).

Here is the presentation schedule in Room
4102 (each
slot includes time for

questions/discussion):

May 12 (Thursday)

11-noon: GUTs (Ranchu
Mathew)/anomalies (Simon Riquelme)

1-4: SUSY (3 talks by
Anton De La Fuente, Yong Zhao and Chris Verhaaren –

order
to be decided by presenters)

May
13 (Friday)

10-noon: extra
dimensions (2 talks by Andy Latief and Wrick Sengupta – order to

be
decided by presenters)

3-4: anomalies/GUT

(Some) Earlier announcements:

(4). Notes on path/functional integral formalism have been posted here.

(5). Outline
for last several weeks: discussion of theory of Standard Model, (to
begin with)

based (roughly) on Chapter 15 of
Lahiri and Pal (for electroweak sector).

(6). Term
paper (instead of final exam)

(i) Topics are here.

(7). HW 3 (due
Monday, March 14) and 4 (due Monday, March 28) have been assigned here:

(i) HW 3.4 has been corrected (there is
a remnant symmetry…)

(ii) Hint for HW 3.4 (using radial representation) has been added.

(iii) HW 4.5.1
(deriving Feynman rules for gauge boson quartic vertex) has been added.

(iv). HW 4.5.2: the Feynman rules for gauge boson self-interactions are in Fig. 14.1
(and

those for ghosts are in Eqs.
14.43 and 14.44 as indicated in earlier version).

(8). Outline for next
couple of weeks:

In week 6, I will start
discussion of (global) non-abelian symmetries, including their

spontaneous breaking
(roughly along the lines of sections13.1, 13.2 and 13.4.3 of Lahiri

and Pal).

Then, I will discuss gauging (at
classical level) these symmetries (roughly along the

lines of sections 14.1 to
14.4 of Lahiri and Pal).

Finally, I will discuss path integral
quantization (which is sort of a "must" for non-abelian

gauge theories) - I will send you
notes/references on this topic later.

(9). HW2 is here:

(i) Deadline is
extended to Friday,
March 4.

(ii) Corrected/revised HW 2.6 is now
posted.

(iii) HW 2.4 on zeta-eta scattering in radial
representation: according to one of the

authors (Pal), the
amplitudes are exactly same in
the 2 representations.

As for my question about
whether the zeta and eta fields in the two representations

not being
exactly equal implies the equality of amplitudes is valid only in some
limit

(e.g. momenta <<
v), the authors' answer was (which I still need to digest so that I

simply quote it here
verbatim) "Two fields need not be exactly equal in order to give the

same S-matrix
elements. There is a theorem by Haag to that effect. See, e.g.,

"Dynamics of the standard
model" by Donoghue, Golowich and

(10).
Homework 1 (due February 14) has been assigned here.

Please note the revision - the problem on relating Z_1 and Z_2 in both dimensional and

cut-off regularizations has been added.

(11). Outline of topics:

(i) Week 3 onwards: after finishing renormalization, I will discuss
spontaneous symmetry

breaking and
Higgs mechanism, roughly based on sections 13.4, 13.5 and 13.6 of

Lahiri and Pal.

(I'll discuss the topic of general
symmetry groups, roughly based on sections 13.1 and

13.2 of Lahiri
and Pal later.)

(ii) Weeks 1-3: I will discuss renormalization based on chapter 12 of Lahiri and
Pal

this/next week (chapter 2 of Cheng and Li is also a good read for this
topic, where the

counterterm renormalization scheme is introduced in section 2.2).

In particular,

(a) I will skip sections 12.9.1 (Lamb shift) and 12.9.3 (cancellation of IR
divergence)

since these are not so relevant for our goals.

(b) In class, I will go through
calculation of vacuum polarization diagram using

dimensional regularization and adding of counterterms for it...

However, I will leave a similar detailed
discussion of fermion self-energy diagram for

HW1
(see sections 12.6.2 and 12.7.2 for this discussion using a different

regularization scheme, namely, Pauli-Villars, with similar end-result).