Infection, by definition, is an invasion by a disease-causing organism into a host's (your's) bodily tissue. This becomes all the more substantial when there is a tear or break in the skin, which would otherwise do a near-flawless job at keeping malicious organisms out. Cleaning and caring for a laceration should never be overlooked as the result could be an infection.
Here's a simple, straight forward guide on how to address and disinfect a minor wound. (given that you have time to go through all 4 steps, and are not bleeding profusely)
If you notice that your cut is severe in nature, please contact your Doctor immediately.
Step 1: Stop the Bleeding
If the wound does not seem to stop bleeding, call your doctor. The cut may be deeper than you think, and stitches may be required.
Step 2: Gentle Wash
If you notice lingering pieces of debris after washing, call your Doctor.
Step 3: Apply an Antibiotic
If you fear you may be allergic to antibiotic creams, simple vaseline serves as a great replacement. Although it is not in it's nature an antibiotic, vaseline will provide a moist environment ideal for healing.
Step 4: Dressing
Redress wound as needed or when it becomes wet or dirty.
Remember: a clean wound is a happy wound, one that will greatly limit infection and scarring.