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Incremental Metapost Graphics for TEXPower:Using feynmf/feynmp and emp
Thorsten Ohl (mailto:ohl@hep.tu-darmstadt.de)
http://heplix.ikp.physik.tu-darmstadt.de/~ohl
June 12, 2000
Incremental Metapost Graphics for TEXPower:Using feynmf/feynmp and emp
Thorsten Ohl (mailto:ohl@hep.tu-darmstadt.de)
http://heplix.ikp.physik.tu-darmstadt.de/~ohl
June 12, 2000
Caveat Emptor: the version of emp currently on CTAN does not yet have
the empx environment required for these examples. Get the most recent
version from
ftp://heplix.ikp.physik.tu-darmstadt.de/pub/ohl/emp.
Incremental Metapost Graphics for TEXPower:Using feynmf/feynmp and emp
Thorsten Ohl (mailto:ohl@hep.tu-darmstadt.de)
http://heplix.ikp.physik.tu-darmstadt.de/~ohl
June 12, 2000
Caveat Emptor: the version of emp currently on CTAN does not yet have
the empx environment required for these examples. Get the most recent
version from
ftp://heplix.ikp.physik.tu-darmstadt.de/pub/ohl/emp.
These examples of incremental graphics for TEXpower are collected from
various talks and lectures that I had prepared originally with seminar.
Some of them are probably overusing TEXpower’s features, . . .
Contents
1 Blending Graphics With the Background 3
2 Incremental Feynman Diagrams SychronizedWith Equations 4
3 Incremental Metapost Boxes 5
4 Incremental Graphics Synchronized With Text 6
5 3D Metapost Synchronized With Equations 7
Contents
1 Blending Graphics With the Background 3
2 Incremental Feynman Diagrams SychronizedWith Equations 4
3 Incremental Metapost Boxes 5
4 Incremental Graphics Synchronized With Text 6
5 3D Metapost Synchronized With Equations 7
NB: all links point to the final version (step) of each page!
1 Blending Graphics With the Background
0 2 4 6
dσdΩ
ECM/TeV
Differential cross section
for e−νe → e−νe.
1 Blending Graphics With the Background
0 2 4 6
dσdΩ
Unitarity
ECM/TeV
Differential cross section and S-wave tree level unitarity bound
for e−νe → e−νe.
1 Blending Graphics With the Background
0 2 4 6
dσdΩ
Unitarity
ECM/TeV
Differential cross section and S-wave tree level unitarity bound
for e−νe → e−νe.
2 Incremental Feynman Diagrams SychronizedWith Equations
iT =
p1
p2
q1
q2
(1)
iT =
(2)
2 Incremental Feynman Diagrams SychronizedWith Equations
iT =
p1
p2
q1
q2
(1)
iT =
(2)
2 Incremental Feynman Diagrams SychronizedWith Equations
iT =
u(p1)
v(p2)
u(q1)
v(q2)
(1)
iT = v(p2) u(p1) u(q1) v(q2)
(2)
2 Incremental Feynman Diagrams SychronizedWith Equations
iT =
u(p1)
v(p2)
u(q1)
v(q2)
−ieγρ −ieγσ (1)
iT = v(p2)(−ieγρ)u(p1) u(q1)(−ieγσ)v(q2)
(2)
2 Incremental Feynman Diagrams SychronizedWith Equations
iT =−igρσ
(p1 + p2)2 + iε
u(p1)
v(p2)
u(q1)
v(q2)
−ieγρ −ieγσ (1)
iT = v(p2)(−ieγρ)u(p1)−igρσ
(p1 + p2)2 + iεu(q1)(−ieγσ)v(q2)
(2)
2 Incremental Feynman Diagrams SychronizedWith Equations
iT =−igρσ
(p1 + p2)2 + iε
u(p1)
v(p2)
u(q1)
v(q2)
−ieγρ −ieγσ (1)
iT = v(p2)(−ieγρ)u(p1)−igρσ
(p1 + p2)2 + iεu(q1)(−ieγσ)v(q2)
= ie2 1
s[v(p2)γρu(p1)] [u(q1)γρv(q2)] (2)
3 Incremental Metapost Boxes
Chiral symmetries in the standard model
SU(6)L ⊗ SU(6)R ⊗U(1)
3 Incremental Metapost Boxes
Chiral symmetries in the standard model broken by quark masses
SU(6)L ⊗ SU(6)R ⊗U(1)
SU(3)L ⊗ SU(3)R ⊗U(1)4
mt,mb,mc
3 Incremental Metapost Boxes
Chiral symmetries in the standard model broken by quark masses
SU(6)L ⊗ SU(6)R ⊗U(1)
SU(3)L ⊗ SU(3)R ⊗U(1)4
U(1)6
mt,mb,mc
mu, m
d, m
s
3 Incremental Metapost Boxes
Chiral symmetries in the standard model broken by quark masses and
electroweak interactions:
SU(6)L ⊗ SU(6)R ⊗U(1)
SU(3)L ⊗ SU(3)R ⊗U(1)4
SU(3)UL ⊗ SU(3)DL
⊗SU(3)UR ⊗ SU(3)DR ⊗U(1)
U(1)6
mt,mb,mc
mu, m
d, m
s
NC: γ, Z
3 Incremental Metapost Boxes
Chiral symmetries in the standard model broken by quark masses and
electroweak interactions:
SU(6)L ⊗ SU(6)R ⊗U(1)
SU(3)L ⊗ SU(3)R ⊗U(1)4
SU(3)UL ⊗ SU(3)DL
⊗SU(3)UR ⊗ SU(3)DR ⊗U(1)
SU(3)L ⊗ SU(3)UR ⊗ SU(3)DR ⊗U(1)U(1)6
mt,mb,mc
mu, m
d, m
s
NC: γ, Z
CC
:W±
3 Incremental Metapost Boxes
Chiral symmetries in the standard model broken by quark masses and
electroweak interactions:
SU(6)L ⊗ SU(6)R ⊗U(1)
SU(3)L ⊗ SU(3)R ⊗U(1)4
SU(3)UL ⊗ SU(3)DL
⊗SU(3)UR ⊗ SU(3)DR ⊗U(1)
SU(2)DL ⊗ SU(2)DR ⊗U(1)5
SU(3)L ⊗ SU(3)UR ⊗ SU(3)DR ⊗U(1)U(1)6
mt,mb,mc
mu, m
d, m
s
NC: γ, Z
CC
:W±
⊂
⊂
4 Incremental Graphics Synchronized With Text
∫ +∞
−∞dp0
e−ipx
p2 −m2(3)
The integral over the energy of the intermediate states in the complex
p0-plane
Imp0
Rep0
4 Incremental Graphics Synchronized With Text
∫ +∞
−∞dp0
e−ipx
p2 −m2(3)
The integral over the energy of the intermediate states in the complex
p0-plane encounters two poles at p0 = ±√|~p|2 +m2.
Imp0
Rep0
−√|~p|2 +m2
+√|~p|2 +m2
4 Incremental Graphics Synchronized With Text
∫ +∞
−∞dp0
e−ipx
p2 −m2(3)
The integral over the energy of the intermediate states in the complex
p0-plane encounters two poles at p0 = ±√|~p|2 +m2. These poles are circled
corresponding to Feynman’s boundary conditions.
Imp0
Rep0
−√|~p|2 +m2
+√|~p|2 +m2
4 Incremental Graphics Synchronized With Text
limε→0
∫ +∞
−∞dp0
e−ipx
p2 −m2 + iε(3)
The integral over the energy of the intermediate states in the complex
p0-plane encounters two poles at p0 = ±√|~p|2 +m2. These poles are circled
corresponding to Feynman’s boundary conditions. This pole prescription can
be expressed most concisely as a “+iε-prescription”.Imp0
Rep0
−√|~p|2 +m2
+√|~p|2 +m2
5 3D Metapost Synchronized With Equations
D = D1 ⊗D2 ⊗D3
5 3D Metapost Synchronized With Equations
D = D1 ⊗D2 ⊗D3
= (D(1)1 ⊕D(2)
1 ⊕D(3)1 )⊗D2 ⊗D3
5 3D Metapost Synchronized With Equations
D = D1 ⊗D2 ⊗D3
= (D(1)1 ⊕D(2)
1 ⊕D(3)1 )⊗D2 ⊗D3
= (D(1)1 ⊕D(2)
1 ⊕D(3)1 )⊗ (D(1)
2 ⊕D(2)2 )⊗D3
5 3D Metapost Synchronized With Equations
D = D1 ⊗D2 ⊗D3
= (D(1)1 ⊕D(2)
1 ⊕D(3)1 )⊗D2 ⊗D3
= (D(1)1 ⊕D(2)
1 ⊕D(3)1 )⊗ (D(1)
2 ⊕D(2)2 )⊗D3
= (D(1)1 ⊕D(2)
1 ⊕D(3)1 )⊗ (D(1)
2 ⊕D(2)2 )⊗ (D(1)
3 ⊕D(2)3 )
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