# Mass-shell applications of the renormalization group with arbitrary interpolating fields

## Abstract

The use of renormalization-group techniques to study the high-energy, fixed-angle behavior of on-shell S-matrix elements is discussed and reconciled with the fact that the field operator associated with an external on-shell particle is not unique. It is shown that, in a theory with an ultraviolet-stable fixed point, the various choices of interpolating field all give the same effective fixed-point anomalous dimension. The remaining differences in the renormalization-group equations for vertex functions of different interpolating fields are absorbed by the finite renormalization necessary for constructing properly normalized scattering amplitudes. (AIP)

- Authors:

- Publication Date:

- Research Org.:
- Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

- OSTI Identifier:
- 7136874

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev., D; (United States)

- Additional Journal Information:
- Journal Volume: 14:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; RENORMALIZATION; S MATRIX; ASYMPTOTIC SOLUTIONS; GREEN FUNCTION; SCATTERING AMPLITUDES; VERTEX FUNCTIONS; WAVE FUNCTIONS; AMPLITUDES; FIELD THEORIES; FUNCTIONS; MATRICES; 645400* - High Energy Physics- Field Theory

### Citation Formats

```
Thacker, H.B., and Weisberger, W.I.
```*Mass-shell applications of the renormalization group with arbitrary interpolating fields*. United States: N. p., 1976.
Web. doi:10.1103/PhysRevD.14.2658.

```
Thacker, H.B., & Weisberger, W.I.
```*Mass-shell applications of the renormalization group with arbitrary interpolating fields*. United States. doi:10.1103/PhysRevD.14.2658.

```
Thacker, H.B., and Weisberger, W.I. Mon .
"Mass-shell applications of the renormalization group with arbitrary interpolating fields". United States. doi:10.1103/PhysRevD.14.2658.
```

```
@article{osti_7136874,
```

title = {Mass-shell applications of the renormalization group with arbitrary interpolating fields},

author = {Thacker, H.B. and Weisberger, W.I.},

abstractNote = {The use of renormalization-group techniques to study the high-energy, fixed-angle behavior of on-shell S-matrix elements is discussed and reconciled with the fact that the field operator associated with an external on-shell particle is not unique. It is shown that, in a theory with an ultraviolet-stable fixed point, the various choices of interpolating field all give the same effective fixed-point anomalous dimension. The remaining differences in the renormalization-group equations for vertex functions of different interpolating fields are absorbed by the finite renormalization necessary for constructing properly normalized scattering amplitudes. (AIP)},

doi = {10.1103/PhysRevD.14.2658},

journal = {Phys. Rev., D; (United States)},

number = ,

volume = 14:10,

place = {United States},

year = {1976},

month = {11}

}

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