Three loop beta function for N=1 supersymmetric electrodynamics, regularized by higher derivatives

Three-loop quantum corrections to the effective action are calculated for N=1 supersymmetric electrodynamics, regularized by higher derivatives. Using the obtained results we investigate the anomaly puzzle in the considered model.

supersymmetry
regularization
higher covariant derivatives
dimensional reduction
quantum electrodynamics
supersymmetry: superfield
effective action
perturbation theory: higher-order
higher-order: 3
regularization

References(39)

Figures(0)

Transformation Properties of the Supercurrent

S. Ferrara
(
- CERN
)
,
B. Zumino
(
- CERN
)

- Nucl.Phys.B 87 (1975) 207,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 117-130. (NUCL. PHYS. B87 (1975) 207-220) AND CERN GENEVA - TH. 1947 (74,REC.DEC.) 17 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(75)90063-2

Supercurrents, Renormalization and Anomalies

- Nucl.Phys.B 143 (1978) 445-484
•
DOI:
- 10.1016/0550-3213(78)90064-0

The Supercurrent in $N=1$ Supersymmetrical {Yang-Mills} Theories. 1. The Classical Case

O. Piguet
(
- Geneva U.
)
,
K. Sibold
(
- CERN
)

- Nucl.Phys.B 196 (1982) 428-446
•
DOI:
- 10.1016/0550-3213(82)90499-0

The Supercurrent in $N=1$ Supersymmetrical {Yang-Mills} Theories. 2. Renormalization

O. Piguet
(
- Geneva U.
)
,
K. Sibold
(
- CERN
)

- Nucl.Phys.B 196 (1982) 447-460
•
DOI:
- 10.1016/0550-3213(82)90500-4

Absence of higher order corrections in the anomalous axial vector divergence equation

- Phys.Rev. 182 (1969) 1517-1536,
•
DOI:
- 10.1103/PhysRev.182.1517

Energy-Momentum-Tensor Trace Anomaly in Spin 1/2 Quantum Electrodynamics

Stephen L. Adler
(
- Princeton, Inst. Advanced Study and
- Los Alamos
)
,
John C. Collins
(
- Princeton U.
)
,
Anthony Duncan
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.D 15 (1977) 1712,
- Preprint - ADLER S L (76,REC.JAN 77) 35p,
- Phys.Rev.D15 (1977) 1712-1721 and Princeton Inst Adv Study - COO-2220-77 (76,REC.JUL) 9p,
•
DOI:
- 10.1103/PhysRevD.15.1712

Supersymmetric Extension of the Adler-bardeen Theorem

V.A. Novikov
(
- Moscow, ITEP
)
,
Mikhail A. Shifman
(
- CERN and
- Moscow, ITEP
)
,
A.I. Vainshtein
(
- Novosibirsk, IYF
)
,
Valentin I. Zakharov
(
- Moscow, ITEP
)

- Phys.Lett.B 157 (1985) 169-173
•
DOI:
- 10.1016/0370-2693(85)91539-4

A Class of Finite Four-Dimensional Supersymmetric Field Theories

Paul S. Howe
(
- King's Coll. London
)
,
K.S. Stelle
(
- Imperial Coll., London
)
,
Peter C. West
(
- King's Coll. London and
- Santa Barbara, KITP
)

- Phys.Lett.B 124 (1983) 55-58
•
DOI:
- 10.1016/0370-2693(83)91402-8

VANISHING OF THE THREE LOOP CHARGE RENORMALIZATION FUNCTION IN A SUPERSYMMETRIC GAUGE THEORY

L.V. Avdeev
(
- Dubna, JINR and
- Moscow State U.
)
,
O.V. Tarasov
(
- Dubna, JINR and
- Moscow State U.
)
,
A.A. Vladimirov
(
- Dubna, JINR and
- Moscow State U.
)

- Phys.Lett.B 96 (1980) 94-96
•
DOI:
- 10.1016/0370-2693(80)90219-1

Zero Three Loop beta Function in N=4 Superyang-Mills Theory

Marcus T. Grisaru
(
- Brandeis U.
)
,
Martin Rocek
(
- Cambridge U.
)
,
Warren Siegel
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.Lett. 45 (1980) 1063-1066
•
DOI:
- 10.1103/PhysRevLett.45.1063

Vanishing Three Loop Beta Function in $N=4$ Supersymmetric {Yang-Mills} Theory

William E. Caswell
(
- Maryland U.
)
,
Daniela Zanon
(
- Maryland U. and
- Milan U.
)

- Phys.Lett.B 100 (1981) 152-156
•
DOI:
- 10.1016/0370-2693(81)90764-4

Solution of the Anomaly Puzzle in SUSY Gauge Theories and the Wilson Operator Expansion

Mikhail A. Shifman
(
- Moscow, ITEP
)
,
A.I. Vainshtein
(
- Novosibirsk, IYF
)

- Nucl.Phys.B 277 (1986) 456,
- Sov.Phys.JETP 64 (1986) 428-440,
- Zh.Eksp.Teor.Fiz. 91 (1986) 723-744,
- Zh. Eksp. Teor. Fiz. 91 ( 1986) 723-744
•
DOI:
- 10.1016/0550-3213(86)90451-7

Anomalous Supersymmetry Transformation of Some Composite Operators in SQCD

K. Konishi
(
- CERN and
- INFN, Pisa and
- Pisa U.
)

- Phys.Lett.B 135 (1984) 439-444
•
DOI:
- 10.1016/0370-2693(84)90311-3

The Absence of Radiative Corrections to the Axial Current Anomaly in Supersymmetric {QED}

- Nucl.Phys.B 159 (1979) 1-15
•
DOI:
- 10.1016/0550-3213(79)90322-5

The beta function in supersymmetric gauge theories. Instantons versus traditional approach

- Phys.Lett.B 166 (1986) 329-333,
- Sov.J.Nucl.Phys. 43 (1986) 294,
- Yad.Fiz. 43 (1986) 459-464
•
DOI:
- 10.1016/0370-2693(86)90810-5

The Three Loop Beta Function in the $N=1$ , $N=2$ , $N=4$ Supersymmetric {Yang-Mills} Theories

L.V. Avdeev
(
- Dubna, JINR
)
,
O.V. Tarasov
(
- Dubna, JINR
)

- Phys.Lett.B 112 (1982) 356-358
•
DOI:
- 10.1016/0370-2693(82)91068-1

N=1 supersymmetry and the three loop anomalous dimension for the chiral superfield

- Nucl.Phys.B 473 (1996) 308-322
•
e-Print:
- hep-ph/9603386
•
DOI:
- 10.1016/0550-3213(96)00269-6

N=1 supersymmetry and the three loop gauge Beta function

- Phys.Lett.B 386 (1996) 138-140
•
e-Print:
- hep-ph/9606323
•
DOI:
- 10.1016/0370-2693(96)00918-5

Regularization of supersymmetric theories

I. Jack
(
- Liverpool U.
)
,
D.R.T. Jones
(
- Liverpool U.
)

- ,
- Adv.Ser.Direct.High Energy Phys. 21 (2010) 494-513
•
e-Print:
- hep-ph/9707278
•
DOI:
- 10.1142/9789814307505_0013

Scheme dependence and the NSVZ Beta function

- Nucl.Phys.B 486 (1997) 479-499
•
e-Print:
- hep-ph/9609325
•
DOI:
- 10.1016/S0550-3213(96)00637-2

Differential regularization and renormalization: A New method of calculation in quantum field theory

Daniel Z. Freedman
(
- MIT and
- MIT, LNS
)
,
Kenneth Johnson
(
- MIT, LNS
)
,
Jose I. Latorre
(
- Barcelona U.
)

- Nucl.Phys.B 371 (1992) 353-414,
- Nucl. Phys. B371 (1992) 353-414 and MIT Cambridge - CTP-1972 (91/05,rec.Jul.) 49 p
•
DOI:
- 10.1016/0550-3213(92)90240-C

The beta function of N=1 SYM in differential renormalization

Javier Mas
(
- Santiago de Compostela U.
)
,
Manuel Perez-Victoria
(
- Padua U. and
- INFN, Padua
)
,
Cesar Seijas
(
- Santiago de Compostela U.
)

- JHEP 03 (2002) 049
•
e-Print:
- hep-th/0202082
•
DOI:
- 10.1088/1126-6708/2002/03/049

Holomorphy, rescaling anomalies and exact beta functions in supersymmetric gauge theories

Nima Arkani-Hamed
(
- LBL, Berkeley and
- UC, Berkeley
)
,
Hitoshi Murayama
(
- LBL, Berkeley and
- UC, Berkeley
)

- JHEP 06 (2000) 030
•
e-Print:
- hep-th/9707133
•
DOI:
- 10.1088/1126-6708/2000/06/030

- Theor.Math.Phys. 23 3

Higher covariant derivative regularization revisited

Timur D. Bakeyev
(
- Steklov Math. Inst., Moscow and
- Moscow State U.
)
,
A.A. Slavnov
(
- Steklov Math. Inst., Moscow and
- Moscow State U.
)

- Mod.Phys.Lett.A 11 (1996) 1539-1554
•
e-Print:
- hep-th/9601092
•
DOI:
- 10.1142/S0217732396001533

1-25 of 39
1
2
25 / page