Exact evolution equation for the effective potential

We derive a new exact evolution equation for the scale dependence of an effective action. The corresponding equation for the effective potential permits a useful truncation. This allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.

Note:

Original manuscript from 1992, 5 pages

effective action
phi**n model: 4
symmetry: SO(N)
renormalization group
field equations

References(8)

Figures(0)

Renormalization group and critical phenomena. 2. Phase space cell analysis of critical behavior

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.B 4 (1971) 3184-3205
•
DOI:
- 10.1103/PhysRevB.4.3184

Average Action and the Renormalization Group Equations

C. Wetterich
(
- DESY
)

- Nucl.Phys.B 352 (1991) 529-584
•
DOI:
- 10.1016/0550-3213(91)90099-J

The Renormalization group and the epsilon expansion

- Phys.Rept. 12 (1974) 75-199
•
DOI:
- 10.1016/0370-1573(74)90023-4

Scaling laws for Ising models near T(c)

L.P. Kadanoff
(
- Illinois U., Urbana
)

- Physics Physique Fizika 2 (1966) 263-272
•
DOI:
- 10.1103/PhysicsPhysiqueFizika.2.263

Ordering, metastability and phase transitions in two-dimensional systems

J.M. Kosterlitz
(
- Birmingham U.
)
,
D.J. Thouless
(
- Birmingham U.
)

- J.Phys.C 6 (1973) 1181-1203,
- In *Thouless, D.J.: Topological quantum numbers in nonrelativistic physics* 349-371
•
DOI:
- 10.1088/0022-3719/6/7/010

- J.Phys.C 7 1046

Average Action for the $N$ Component $\phi^4$ Theory

A. Ringwald
(
- DESY
)
,
C. Wetterich
(
- DESY
)

- Nucl.Phys.B 334 (1990) 506-526
•
DOI:
- 10.1016/0550-3213(90)90489-Z

Renormalization and Effective Lagrangians

Joseph Polchinski
(
- Harvard U.
)

- Nucl.Phys.B 231 (1984) 269-295
•
DOI:
- 10.1016/0550-3213(84)90287-6