Abstract

We have proposed a new type of string field theory. The main point of the present article is to cure some technical troubles: missing two out three terms in Veneziano amplitude. Our novel string field theory, describes a theory with many strings in terms of “objects”, which are not exactly, but close to Charles Thorn’s string bits. The new point is that the objects in terms of which the universe states are constructed, and which have an essentially 26-momentum variable called Jμ, can have the energy J0 be also negative as well as positive. We get a long way in deriving in this model the Veneziano model and obtain all the three terms needed for a four point amplitude. This result strongly indicates that our novel string field theory is indeed string theory.

Highlights

  • We have proposed a new type of string field theory

  • From the previous works of ours it is important to remember: we develop a formalism for description of an arbitrary number of strings (String Field Theory) by means of a Hilbert space formally with “objects” that are more like particles

  • We develop a new description for an arbitrary number of strings, a string field theory

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Summary

Introduction

In order to describe a situation with several strings [1,2,3,4,5,6,7,8,9,10] you need a priori a string field theory [11, 12] — second quantization — of the of the strings like in Kaku and Kikkawa [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] or Witten theory [28,29,30,31,32,33,34,35,36,37,38]. 3. the many string state is represented by a Hilbert vector in an a priori free massless scalar particle quantum field theory by acting on a certain vacuum state | 0 with a creation operator for each even (numbered) “object” in any one of the set of strings the state of which is to be constructed. The reader should see that we have made a correspondence which to any state of an arbitrary number of strings let correspond a Hilbert vector in a massless free scalar quantum field theory. From the previous works of ours it is important to remember: we develop a formalism for description of an arbitrary number of strings (String Field Theory) by means of a Hilbert space formally with “objects” that are more like particles “String” comes only in via the initial (and final state) conditions

Our SFT model equivalent to string theory
Relation to Charles Thorn’s string bits
Translation from strings to “cyclic chains”
The closed string
Further comments on novel string field theory model
The rough Dirac sea
1.10 Illustration of connection to the string
The state of several strings
A formalism of replacement of ghost
The classical approximation summary of “layers of existence degrees”
Main idea in calculating Veneziano amplitude
The philosophy of counting
Evaluation of the integrand
What is required to finish Veneziano model?
Problems in getting the weight of Veneziano integral easily
Conclusion and outlook
A What is the rough Dirac sea?
Full Text
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