Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-07-03T03:58:58.192Z Has data issue: false hasContentIssue false

19 - Introduction to Part IV

from Part IV - The string

Published online by Cambridge University Press:  05 May 2012

Andrea Cappelli
Affiliation:
Istituto Nazionale di Fisica Nucleare (INFN), Florence
Elena Castellani
Affiliation:
Università degli Studi di Firenze, Italy
Filippo Colomo
Affiliation:
Istituto Nazionale di Fisica Nucleare (INFN), Florence
Paolo Di Vecchia
Affiliation:
Niels Bohr Institutet, Copenhagen and Nordita, Stockholm
Get access

Summary

Introduction

The connection between the Dual Resonance Model (DRM) and the relativistic string, a one-dimensional extended system, was observed soon after Veneziano's fundamental paper. Indeed, the presence of an infinite set of harmonic oscillators, with frequencies that were multiples of a fundamental tune, was clearly suggestive of a vibrating string.

Part IV contains the contributions by the authors who proposed the string interpretation, found the action and studied the quantization. In the years 1969 and 1970, Nambu, Nielsen and Susskind, each from his own perspective, suggested independently that a string model was at the basis of the DRM. In 1970, Nambu, and later Goto, wrote the correct relativistic and reparameterization-invariant form of the string Lagrangian. The different perspectives can be summarized as follows.

  1. (i) Susskind's starting point was the comparison of DRM scattering amplitudes with those for the relativistic harmonic oscillator. From the existence of many frequencies of oscillation, i.e. harmonics, Susskind had the idea of a ‘rubber band’ or a ‘violin string’.

  2. (ii) Nielsen's intuition came from an analogy of dual diagrams with high-order Feynman diagrams, called ‘fishnet diagrams’ in this approximation particles interact approximately with nearest neighbours and effectively form a one-dimensional chain, i.e. a string.

  3. […]

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×