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Igor Khavkine
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G. Scharf, Quantum Gauge Theories: Spin One and Two 
http://books.google.com/books?id=DsFauPtuAoYChttp://books.google.com/books?id=DsFauPtuAoYC (can be downloaded as a PDF)
https://books.google.de/books?id=0DvBDAAAQBAJ (canit seems the book can no longer be downloaded as a PDFdirectly)

A thin book that covers the basics of free and interacting fields in a mathematically rigorous way, at the level of formal power series in the interaction strength. Essentially proves the renomralizability of quantum Yang-Mills theories (a large part of the standard model) and the necessity for a Higgs field. Treats perturbative gravity as well. Since the emphasis is on the methods, not much time is spent exploring features specific to the standard model. But this book is really hard to beat when it comes to mathematical rigor among other books aimed at a similar audience.

G. Scharf, Quantum Gauge Theories: Spin One and Two http://books.google.com/books?id=DsFauPtuAoYC (can be downloaded as a PDF)

A thin book that covers the basics of free and interacting fields in a mathematically rigorous way, at the level of formal power series in the interaction strength. Essentially proves the renomralizability of quantum Yang-Mills theories (a large part of the standard model) and the necessity for a Higgs field. Treats perturbative gravity as well. Since the emphasis is on the methods, not much time is spent exploring features specific to the standard model. But this book is really hard to beat when it comes to mathematical rigor among other books aimed at a similar audience.

G. Scharf, Quantum Gauge Theories: Spin One and Two 
http://books.google.com/books?id=DsFauPtuAoYC (can be downloaded as a PDF)
https://books.google.de/books?id=0DvBDAAAQBAJ (it seems the book can no longer be downloaded directly)

A thin book that covers the basics of free and interacting fields in a mathematically rigorous way, at the level of formal power series in the interaction strength. Essentially proves the renomralizability of quantum Yang-Mills theories (a large part of the standard model) and the necessity for a Higgs field. Treats perturbative gravity as well. Since the emphasis is on the methods, not much time is spent exploring features specific to the standard model. But this book is really hard to beat when it comes to mathematical rigor among other books aimed at a similar audience.

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Source Link
Igor Khavkine
  • 21.5k
  • 2
  • 60
  • 113

G. Scharf, Quantum Gauge Theories: Spin One and Two http://books.google.com/books?id=DsFauPtuAoYC (can be downloaded as a PDF)

A thin book that covers the basics of free and interacting fields in a mathematically rigorous way, at the level of formal power series in the interaction strength. Essentially proves the renomralizability of quantum Yang-Mills theories (a large part of the standard model) and the necessity for a Higgs field. Treats perturbative gravity as well. Since the emphasis is on the methods, not much time is spent exploring features specific to the standard model. But this book is really hard to beat when it comes to mathematical rigor among other books aimed at a similar audience.