Hamiltonian
.
Hamiltonian Truncation Methods
Slava (
T.H.ES
Rychkov
Simons
Collaboration
2017
Annual
Simons
ENS
&
.
Non
on
Meeting
Foundation
,
,
NYC
,
Paris
,
-
Perturbative 9-10
Nov
)
Bootstrap
.
2017
Stated Solve
1
Solve
Conformal solve
•
flows
RG
.
Massive S
-
CFTIR
CFTW
for
Simmons
~>
being
are
bootstrap
the
strides
making
is
.IR
theories
massive
or
bootstrap
matrix
Bootstrap
:
CFTS
connecting
=
CFTW
•
collaboration
our
CFTS
.
2
of
goals
→
whole
van
RG
-
Duffin
to
Poland
,
constrained
using
Rees
flow
?
,
-
unclear
...
Hamiltonian
methods
truncation
=s:AfiKatz •
•
is
approach solution of
takes
a
input
to
idea
set
FET
of space quantization in
RE
up
a
.
bootstrap )
Cftuv
as
an
flow
equipped
comes
Hilbert
local
space operators
with
a
-
in
radial
.
RG
to
realize
This
space
Hamiltonian
from
R
:
natural
Try
( not
microscopic
a
Main
5. ,
lattice
flow
dynamics .
.
method
Monte
-
quite
Carlo
different
Type
I
Eotdttwm
:
'
'
Rayleigh
-
-
Ritz
in
, ,
,
←
Rm
4970 QM f
Body
Bunyan
truncated
approach )
spectrum
In¥¥¥sani*?EEit¥f@ LAGRANGIAN
systems
Q#
•
Solid
results
in
•
wnd
body
and
mat
-
Connections
)
to
review
:
lots
concrete mostly work
with
applications
(
( very
Glimm
literature Recent
of
,
old )
Jaffe
Konik
in
constructive
,
et
of
al
72017
d-
2
and
QFP
Typett
for
( only LIGHT
→
Lots
the
in
→
useful
→
worth
results
in
take
to
a
Ami 's
•
•
d=2
flows vs
vs
QUANTIZATION
FRONT
-
hppelhohe form of
of
)
relativistic
d
>
starting
strongly
(1+1) d
days
( Brodsky
DLCQ
fresh
old
the
in
look
,
et
gaugetheory
work
2
from
coupled
Lagrangian CFTS
theories
al
)
Quick
of
reminder
TCSA Al YurovZamolodchikov ,
Flow
CFT
:
this
Study '
cylinder
R
R
>
←
µ >
A
'
Sqsddx
inR& but T
'
's
not
Sdfsxr
'
'
←
Md
+
a
.
UV IR
,
time
o
to
rise
very
special
CFT
splits
d=2
-
-
P This
other
not
be what
is
Zd
likes
DLD d) + lH+da)
G-
light
.
like
-
timeline
or
0
>
case
:
chiral
into
restricted
to
happens
theories
( Ami
give
be
AND
can
,l
Casimir
can
F=µ~
In
D
States
Pd
Momentum
-
space
Sddxeipinocn ) do
new
primaries
.
momentum
by
90
Descendants
-
.
FT
in
=
numbered
is
view
and
basis
a
of
point
which
antichiral
+
lighlihe for
:
44
are
P=P+
free
and in
UV
In
all
other
d=2
-
d
-
nonchival
CF
free
even
2
>
must
with
work
Notice
proposed
theory
µ2
complication
parameter
µ2
that
novelty
'T
extra
significant
~7
a
cases
is
parameterization to what compared
long
was
for
DLCQ
in
ago
.
d
>
compactifytransversespace sothatplisalisoquanh.tl i
There's wave
some
function fast
a
Notice Ft wave
in
.
of
'ed
a
will
functions → pt .
hadrons
'd typical which
have
large
pt
operator
in
rise
give
that
should
at
decrease
that
intuition
physical
are
counterintuitive
to
.
>
2
partonic polynomial
2
CONCLUSIONS
p
p
i >
•
We
But
-
personal
try
try
Looking next
as
progress
fast
as
'd
we
like
welcome
,
-
b
not
Help My
making
are
to
to
priorities learn from :
understand
forward year
to
MPs
Glimm
Ami 's
-
Jaffe
review
1.
H E. 5 .
.
(
Paris
)
Hamiltonian Truncation Methods
Slava (
T.H.ES
Rychkov
Simons
Collaboration
2017
Annual
Simons
ENS
&
.
Non
on
Meeting
Foundation
,
,
NYC
,
Paris
,
-
Perturbative 9-10
Nov
)
Bootstrap
.
2017
Stated Solve
1
Solve
Conformal solve
•
flows
RG
.
Massive S
-
CFTIR
CFTW
for
Simmons
~>
being
are
bootstrap
the
strides
making
is
.IR
theories
massive
or
bootstrap
matrix
Bootstrap
:
CFTS
connecting
=
CFTW
•
collaboration
our
CFTS
.
2
of
goals
→
whole
van
RG
-
Duffin
to
Poland
,
constrained
using
Rees
flow
?
,
-
unclear
...
Hamiltonian
methods
truncation
=s:AfiKatz •
•
is
approach solution of
takes
a
input
to
idea
set
FET
of space quantization in
RE
up
a
.
bootstrap )
Cftuv
as
an
flow
equipped
comes
Hilbert
local
space operators
with
a
-
in
radial
.
RG
to
realize
This
space
Hamiltonian
from
R
:
natural
Try
( not
microscopic
a
Main
5. ,
lattice
flow
dynamics .
.
method
Monte
-
quite
Carlo
different
Type
I
Eotdttwm
:
'
'
Rayleigh
-
-
Ritz
in
, ,
,
←
Rm
4970 QM f
Body
Bunyan
truncated
approach )
spectrum
In¥¥¥sani*?EEit¥f@ LAGRANGIAN
systems
Q#
•
Solid
results
in
•
wnd
body
and
mat
-
Connections
)
to
review
:
lots
concrete mostly work
with
applications
(
( very
Glimm
literature Recent
of
,
old )
Jaffe
Konik
in
constructive
,
et
of
al
72017
d-
2
and
QFP
Typett
for
( only LIGHT
→
Lots
the
in
→
useful
→
worth
results
in
take
to
a
Ami 's
•
•
d=2
flows vs
vs
QUANTIZATION
FRONT
-
hppelhohe form of
of
)
relativistic
d
>
starting
strongly
(1+1) d
days
( Brodsky
DLCQ
fresh
old
the
in
look
,
et
gaugetheory
work
2
from
coupled
Lagrangian CFTS
theories
al
)
Quick
of
reminder
TCSA Al YurovZamolodchikov ,
Flow
CFT
:
this
Study '
cylinder
R
R
>
←
µ >
A
'
Sqsddx
inR& but T
'
's
not
Sdfsxr
'
'
←
Md
+
a
.
UV IR
,
time
o
to
rise
very
special
CFT
splits
d=2
-
-
P This
other
not
be what
is
Zd
likes
DLD d) + lH+da)
G-
light
.
like
-
timeline
or
0
>
case
:
chiral
into
restricted
to
happens
theories
( Ami
give
be
AND
can
,l
Casimir
can
F=µ~
In
D
States
Pd
Momentum
-
space
Sddxeipinocn ) do
new
primaries
.
momentum
by
90
Descendants
-
.
FT
in
=
numbered
is
view
and
basis
a
of
point
which
antichiral
+
lighlihe for
:
44
are
P=P+
free
and in
UV
In
all
other
d=2
-
d
-
nonchival
CF
free
even
2
>
must
with
work
Notice
proposed
theory
µ2
complication
parameter
µ2
that
novelty
'T
extra
significant
~7
a
cases
is
parameterization to what compared
long
was
for
DLCQ
in
ago
.
d
>
compactifytransversespace sothatplisalisoquanh.tl i
There's wave
some
function fast
a
Notice Ft wave
in
.
of
'ed
a
will
functions → pt .
hadrons
'd typical which
have
large
pt
operator
in
rise
give
that
should
at
decrease
that
intuition
physical
are
counterintuitive
to
.
>
2
partonic polynomial
2
CONCLUSIONS
p
p
i >
•
We
But
-
personal
try
try
Looking next
as
progress
fast
as
'd
we
like
welcome
,
-
b
not
Help My
making
are
to
to
priorities learn from :
understand
forward year
to
MPs
Glimm
Ami 's
-
Jaffe
review
1.
H E. 5 .
.
(
Paris
)
