A naturally light dilaton

Goldstone's theorem does not apply straightforwardly to the case of spontaneously broken scale invariance. We elucidate under what conditions a light scalar degree of freedom, identifiable with the dilaton, can naturally arise. Our construction can be considered an explicit dynamical solution to the cosmological constant problem in the scalar version of gravity.

Note:

v2: published version

Spontaneous Symmetry Breaking
Space-Time Symmetries
Renormalization Group
dilaton
spontaneous symmetry breaking
cosmological constant
Goldstone theorem
gravitation
scaling

References(50)

Figures(0)

[1]

The main idea discussed in this paper was originally developed by in unpublished work, see talk by R. Rattazzi at Planck 2010, CERN [indico/contribId=163&confId=75810]. See also talk by A. Pomarol at Xmas10

R. Contino
,
A. Pomarol
,
R. Rattazzi

- http://www.ift.uamcsic.es/workshops/Xmas10/doc/pomarol.pdf

[2]

Nonlinear realizations. 2. Conformal symmetry

Abdus Salam
(
- ICTP, Trieste
)
,
J.A. Strathdee
(
- ICTP, Trieste
)

- Phys.Rev. 184 (1969) 1760-1768
•
DOI:
- 10.1103/PhysRev.184.1760

[2]

Spontaneous breakdown of conformal symmetry

- Phys.Lett.B 31 (1970) 300-302
•
DOI:
- 10.1016/0370-2693(70)90177-2

[2]

Nonlinear realizations of space-time symmetries. Scalar and tensor gravity

- Annals Phys. 62 (1971) 98-119
•
DOI:
- 10.1016/0003-4916(71)90269-7

[2]

in Brandeis Univ. 1970, Lectures On Elementary Particles And Quantum Field Theory, Vol. 2, 437-500

B. Zumino

[2]

Phenomenological Lagrangians

Dmitri V. Volkov
(
- Kharkov, KIPT
)

- Fiz.Elem.Chast.Atom.Yadra 4 (1973) 3-41

[3]

On the Stress Tensor of Conformal Field Theories in Higher Dimensions

Andrea Cappelli
(
- Saclay
)
,
Antoine Coste
(
- DESY
)

- Nucl.Phys.B 314 (1989) 707-740
•
DOI:
- 10.1016/0550-3213(89)90414-8

[3]

Dynamically Adjusted Cosmological Constant and Conformal Anomalies

E.T. Tomboulis
(
- UCLA
)

- Nucl.Phys.B 329 (1990) 410-444
•
DOI:
- 10.1016/0550-3213(90)90150-C

[3]

Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching

A. Schwimmer
(
- Weizmann Inst.
)
,
S. Theisen
(
- Potsdam, Max Planck Inst.
)

- Nucl.Phys.B 847 (2011) 590-611
•
e-Print:
- 1011.0696
•
DOI:
- 10.1016/j.nuclphysb.2011.02.003

[4]

The Galileon as a local modification of gravity

Alberto Nicolis
(
- Columbia U. and
- ISCAP, New York
)
,
Riccardo Rattazzi
(
- ITPP, Lausanne
)
,
Enrico Trincherini
(
- Pisa, Scuola Normale Superiore
)

- Phys.Rev.D 79 (2009) 064036
•
e-Print:
- 0811.2197
•
DOI:
- 10.1103/PhysRevD.79.064036

[5]

A New Approach to Conformal Invariant Field Theories

Sergio Fubini
(
- CERN
)

- Nuovo Cim.A 34 (1976) 521
•
DOI:
- 10.1007/BF02785664

[6]

Energy's and amplitudes' positivity

Alberto Nicolis
(
- Columbia U. and
- ISCAP, New York
)
,
Riccardo Rattazzi
(
- ITPP, Lausanne
)
,
Enrico Trincherini
(
- Pisa, Scuola Normale Superiore and
- SISSA, Trieste
)

- JHEP 05 (2010) 095,
- JHEP 11 (2011) 128 (erratum)
•
e-Print:
- 0912.4258
•
DOI:
- 10.1007/JHEP05(2010)095

[7]

Gravity's scalar cousin

Raman Sundrum
(
- Johns Hopkins U.
)

e-Print:
- hep-th/0312212

[8]

Minimal Conformal Technicolor and Precision Electroweak Tests

- JHEP 10 (2010) 086
•
e-Print:
- 1001.1361
•
DOI:
- 10.1007/JHEP10(2010)086

[9]

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Sidney R. Coleman
(
- Harvard U.
)
,
Erick J. Weinberg
(
- Harvard U.
)

- Phys.Rev.D 7 (1973) 1888-1910,
- Also in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 57-79,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 589-611.
•
DOI:
- 10.1103/PhysRevD.7.1888

[10]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1