### Abstract

The form of the anomaly in the trace of the energy-momentum tensor in a general theory of interacting fermions and non-Abelian gauge bosons is dervied. The result is shown to involve precisely those gaugevariant operatos which are known to mix with the naive trace under renormalization. The trace is shown to be soft on the mass shell if and only if the theory is at an eigenvalue of the Callan-Symanzik β function. The dilatation anomaly in the matrix element of θλλ with two electromagnetic currents (to lowest order in electromagnetism, but including all orders of the strong gauge interaction) is derived and shown to be infinitely renormalized in finite orders of strong perturbation theory. This anomaly is then shown to be canonical and given precisely by the lowest-order result provided the strong interactions are summed to all orders before going to the limit of physical space-time dimensions.

Original language | English (US) |
---|---|

Pages (from-to) | 438-449 |

Number of pages | 12 |

Journal | Physical Review D |

Volume | 16 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1977 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*16*(2), 438-449. https://doi.org/10.1103/PhysRevD.16.438

}

*Physical Review D*, vol. 16, no. 2, pp. 438-449. https://doi.org/10.1103/PhysRevD.16.438

**Trace and dilatation anomalies in gauge theories.** / Collins, John C.; Duncan, Anthony; Joglekar, Satish D.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Trace and dilatation anomalies in gauge theories

AU - Collins, John C.

AU - Duncan, Anthony

AU - Joglekar, Satish D.

PY - 1977/1/1

Y1 - 1977/1/1

N2 - The form of the anomaly in the trace of the energy-momentum tensor in a general theory of interacting fermions and non-Abelian gauge bosons is dervied. The result is shown to involve precisely those gaugevariant operatos which are known to mix with the naive trace under renormalization. The trace is shown to be soft on the mass shell if and only if the theory is at an eigenvalue of the Callan-Symanzik β function. The dilatation anomaly in the matrix element of θλλ with two electromagnetic currents (to lowest order in electromagnetism, but including all orders of the strong gauge interaction) is derived and shown to be infinitely renormalized in finite orders of strong perturbation theory. This anomaly is then shown to be canonical and given precisely by the lowest-order result provided the strong interactions are summed to all orders before going to the limit of physical space-time dimensions.

AB - The form of the anomaly in the trace of the energy-momentum tensor in a general theory of interacting fermions and non-Abelian gauge bosons is dervied. The result is shown to involve precisely those gaugevariant operatos which are known to mix with the naive trace under renormalization. The trace is shown to be soft on the mass shell if and only if the theory is at an eigenvalue of the Callan-Symanzik β function. The dilatation anomaly in the matrix element of θλλ with two electromagnetic currents (to lowest order in electromagnetism, but including all orders of the strong gauge interaction) is derived and shown to be infinitely renormalized in finite orders of strong perturbation theory. This anomaly is then shown to be canonical and given precisely by the lowest-order result provided the strong interactions are summed to all orders before going to the limit of physical space-time dimensions.

UR - http://www.scopus.com/inward/record.url?scp=0000318847&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000318847&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.16.438

DO - 10.1103/PhysRevD.16.438

M3 - Article

AN - SCOPUS:0000318847

VL - 16

SP - 438

EP - 449

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 2

ER -